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16764121952 = 2519191241599
BaseRepresentation
bin11111001110011100…
…00011001101100000
31121021022122122001122
433213032003031200
5233313103400302
611411253151412
71132300454054
oct174716031540
947238578048
1016764121952
117122a00a46
1232ba32b568
1317721867b6
14b5063bc64
15681b323a2
hex3e7383360

16764121952 has 96 divisors (see below), whose sum is σ = 35126784000. Its totient is φ = 7853414400.

The previous prime is 16764121921. The next prime is 16764121973. The reversal of 16764121952 is 25912146761.

16764121952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27986549 + ... + 27987147.

It is an arithmetic number, because the mean of its divisors is an integer number (365904000).

Almost surely, 216764121952 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 16764121952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563392000).

16764121952 is an abundant number, since it is smaller than the sum of its proper divisors (18362662048).

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

16764121952 is a wasteful number, since it uses less digits than its factorization.

16764121952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its digits is 181440, while the sum is 44.

The spelling of 16764121952 in words is "sixteen billion, seven hundred sixty-four million, one hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 191 241 304 382 482 599 608 764 964 1198 1528 1928 2396 3056 3629 3856 4579 4792 6112 7258 7712 9158 9584 11381 14516 18316 19168 22762 29032 36632 45524 46031 58064 73264 91048 92062 114409 116128 144359 146528 182096 184124 228818 288718 364192 368248 457636 577436 736496 874589 915272 1154872 1472992 1749178 1830544 2173771 2309744 2742821 3498356 3661088 4347542 4619488 5485642 6996712 8695084 10971284 13993424 17390168 21942568 27572569 27986848 34780336 43885136 55145138 69560672 87770272 110290276 220580552 441161104 523878811 882322208 1047757622 2095515244 4191030488 8382060976 16764121952