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31904389924 = 221122323532
BaseRepresentation
bin11101101101101001…
…100101101100100100
310001100110201221020021
4131231221211230210
51010320010434144
622353501444524
72206422561031
oct355551455444
9101313657207
1031904389924
1112592218400
126224870744
133015aa4b44
141789336388
15c6ae02884
hex76da65b24

31904389924 has 81 divisors (see below), whose sum is σ = 64336325809. Its totient is φ = 13832177920.

The previous prime is 31904389921. The next prime is 31904389927. The reversal of 31904389924 is 42998340913.

It is a happy number.

The square root of 31904389924 is 178618.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (31904389921) and next prime (31904389927).

It can be written as a sum of positive squares in only one way, i.e., 12961822500 + 18942567424 = 113850^2 + 137632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31904389921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90380532 + ... + 90380884.

Almost surely, 231904389924 is an apocalyptic number.

31904389924 is the 178618-th square number.

It is an amenable number.

31904389924 is an abundant number, since it is smaller than the sum of its proper divisors (32431935885).

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

31904389924 is a wasteful number, since it uses less digits than its factorization.

31904389924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The spelling of 31904389924 in words is "thirty-one billion, nine hundred four million, three hundred eighty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 4 11 22 23 44 46 92 121 242 253 353 484 506 529 706 1012 1058 1412 2116 2783 3883 5566 5819 7766 8119 11132 11638 15532 16238 23276 32476 42713 64009 85426 89309 124609 128018 170852 178618 186737 249218 256036 357236 373474 498436 746948 982399 1370699 1964798 2054107 2741398 2866007 3929596 4108214 5482796 5732014 8216428 11464028 15077689 22595177 30155378 31526077 45190354 60310756 63052154 65918161 90380708 126104308 131836322 263672644 346786847 693573694 725099771 1387147388 1450199542 2900399084 7976097481 15952194962 31904389924