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50541150212432 = 241123311932086823
BaseRepresentation
bin10110111110111100001110…
…10011100001000101010000
320121221200112122202100201022
423133132013103201011100
523111031233423244212
6255254141152255012
713434322550345345
oct1337360723410520
9217850478670638
1050541150212432
1115116421765210
125803268b41468
132228019004c79
14c6a2c1a887cc
155c9a5822d772
hex2df7874e1150

50541150212432 has 160 divisors (see below), whose sum is σ = 115662270283776. Its totient is φ = 21155366707200.

The previous prime is 50541150212417. The next prime is 50541150212437. The reversal of 50541150212432 is 23421205114505.

50541150212432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 50541150212392 and 50541150212401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50541150212437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23175773 + ... + 25262595.

Almost surely, 250541150212432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50541150212432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57831135141888).

50541150212432 is an abundant number, since it is smaller than the sum of its proper divisors (65121120071344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

50541150212432 is a wasteful number, since it uses less digits than its factorization.

50541150212432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087089 (or 2087083 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 50541150212432 its reverse (23421205114505), we get a palindrome (73962355326937).

The spelling of 50541150212432 in words is "fifty trillion, five hundred forty-one billion, one hundred fifty million, two hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 31 44 46 62 88 92 124 176 184 193 248 253 341 368 386 496 506 682 713 772 1012 1364 1426 1544 2024 2123 2728 2852 3088 4048 4246 4439 5456 5704 5983 7843 8492 8878 11408 11966 15686 16984 17756 23932 31372 33968 35512 47864 48829 62744 65813 71024 95728 97658 125488 131626 137609 195316 263252 275218 390632 526504 550436 781264 1053008 1100872 1513699 2086823 2201744 3027398 4173646 6054796 8347292 12109592 16694584 22955053 24219184 33389168 45910106 47996929 64691513 91820212 95993858 129383026 183640424 191987716 258766052 367280848 383975432 402756839 517532104 527966219 711606643 767950864 805513678 1035064208 1055932438 1423213286 1487904799 1611027356 2111864876 2846426572 2975809598 3222054712 4223729752 4430325229 5692853144 5951619196 6444109424 8447459504 8860650458 9263407297 11385706288 11903238392 12485462009 16366952789 17721300916 18526814594 23806476784 24970924018 32733905578 35442601832 37053629188 49941848036 65467811156 70885203664 74107258376 99883696072 101897480267 130935622312 137340082099 148214516752 199767392144 203794960534 261871244624 274680164198 287165626207 407589921068 549360328396 574331252414 815179842136 1098720656792 1148662504828 1630359684272 2197441313584 2297325009656 3158821888277 4594650019312 6317643776554 12635287553108 25270575106216 50541150212432