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31123521152 = 274123325453
BaseRepresentation
bin11100111111000110…
…110011111010000000
32222100001101200122122
4130333012303322000
51002220110134102
622144205023412
72151161364503
oct347706637200
988301350578
1031123521152
1112221464109
126047254b68
132c2008cb09
14171374b13a
15c225a90a2
hex73f1b3e80

31123521152 has 64 divisors (see below), whose sum is σ = 63791287560. Its totient is φ = 15116451840.

The previous prime is 31123521127. The next prime is 31123521167. The reversal of 31123521152 is 25112532113.

It can be written as a sum of positive squares in 4 ways, for example, as 13861765696 + 17261755456 = 117736^2 + 131384^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1210058 + ... + 1235510.

Almost surely, 231123521152 is an apocalyptic number.

31123521152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31123521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31895643780).

31123521152 is an abundant number, since it is smaller than the sum of its proper divisors (32667766408).

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

31123521152 is a wasteful number, since it uses less digits than its factorization.

31123521152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25741 (or 25729 counting only the distinct ones).

The product of its digits is 1800, while the sum is 26.

The spelling of 31123521152 in words is "thirty-one billion, one hundred twenty-three million, five hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 233 328 466 656 932 1312 1864 2624 3728 5248 7456 9553 14912 19106 25453 29824 38212 50906 76424 101812 152848 203624 305696 407248 611392 814496 1043573 1222784 1628992 2087146 3257984 4174292 5930549 8348584 11861098 16697168 23722196 33394336 47444392 66788672 94888784 133577344 189777568 243152509 379555136 486305018 759110272 972610036 1945220072 3890440144 7780880288 15561760576 31123521152