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10374915996 = 2233295362501
BaseRepresentation
bin10011010100110010…
…01010011110011100
3222210001020100012000
421222121022132130
5132221434302441
64433254242300
7515046221334
oct115231123634
928701210160
1010374915996
114444407a45
122016656390
13c94588563
14705c780c4
1540ac692b6
hex26a64a79c

10374915996 has 96 divisors (see below), whose sum is σ = 28350907200. Its totient is φ = 3276000000.

The previous prime is 10374915989. The next prime is 10374916007. The reversal of 10374915996 is 69951947301.

10374915996 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 49 + 1 + 599 + 6 = 666.

10374915996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 134746 + ... + 197246.

It is an arithmetic number, because the mean of its divisors is an integer number (295321950).

Almost surely, 210374915996 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 10374915996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175453600).

10374915996 is an abundant number, since it is smaller than the sum of its proper divisors (17975991204).

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

10374915996 is a wasteful number, since it uses less digits than its factorization.

10374915996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62596 (or 62588 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 10374915996 in words is "ten billion, three hundred seventy-four million, nine hundred fifteen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 53 54 58 87 106 108 116 159 174 212 261 318 348 477 522 636 783 954 1044 1431 1537 1566 1908 2862 3074 3132 4611 5724 6148 9222 13833 18444 27666 41499 55332 62501 82998 125002 165996 187503 250004 375006 562509 750012 1125018 1687527 1812529 2250036 3312553 3375054 3625058 5437587 6625106 6750108 7250116 9937659 10875174 13250212 16312761 19875318 21750348 29812977 32625522 39750636 48938283 59625954 65251044 89438931 96064037 97876566 119251908 178877862 192128074 195753132 288192111 357755724 384256148 576384222 864576333 1152768444 1729152666 2593728999 3458305332 5187457998 10374915996