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42502270722624 = 263324596221483
BaseRepresentation
bin10011010100111110101001…
…01111111010001001000000
312120111011210022202020101000
421222133110233322021000
521032324122301110444
6230221135034012000
711644454614203636
oct1152372457721100
9176434708666330
1042502270722624
11125a7125877919
124925284577000
131a93c4054094b
14a6d199999356
154da8acd69469
hex26a7d4bfa240

42502270722624 has 56 divisors (see below), whose sum is σ = 124948805138720. Its totient is φ = 14167423573632.

The previous prime is 42502270722557. The next prime is 42502270722629. The reversal of 42502270722624 is 42622707220524.

42502270722624 is a `hidden beast` number, since 4 + 2 + 50 + 2 + 270 + 72 + 262 + 4 = 666.

42502270722624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×425022707226243 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42502270722624.

It is not an unprimeable number, because it can be changed into a prime (42502270722629) 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 7 ways as a sum of consecutive naturals, for example, 12298109014 + ... + 12298112469.

Almost surely, 242502270722624 is an apocalyptic number.

It is an amenable number.

42502270722624 is an abundant number, since it is smaller than the sum of its proper divisors (82446534416096).

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

42502270722624 is a wasteful number, since it uses less digits than its factorization.

42502270722624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24596221504 (or 24596221488 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 42502270722624 in words is "forty-two trillion, five hundred two billion, two hundred seventy million, seven hundred twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 24596221483 49192442966 73788664449 98384885932 147577328898 196769771864 221365993347 295154657796 393539543728 442731986694 590309315592 664097980041 787079087456 885463973388 1180618631184 1328195960082 1574158174912 1770927946776 2361237262368 2656391920164 3541855893552 4722474524736 5312783840328 7083711787104 10625567680656 14167423574208 21251135361312 42502270722624