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10152344640 = 263510575359
BaseRepresentation
bin10010111010010000…
…00111110001000000
3222012112102112200110
421131020013301000
5131243000012030
64355223551320
7506404335264
oct113510076100
928175375613
1010152344640
11433a808879
121b73bbb540
13c5a42a629
146c449c0a4
153e64521b0
hex25d207c40

10152344640 has 56 divisors (see below), whose sum is σ = 32233697280. Its totient is φ = 2707291648.

The previous prime is 10152344633. The next prime is 10152344681. The reversal of 10152344640 is 4644325101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10152344598 and 10152344607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5286720 + ... + 5288639.

Almost surely, 210152344640 is an apocalyptic number.

10152344640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10152344640 is an abundant number, since it is smaller than the sum of its proper divisors (22081352640).

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

10152344640 is a wasteful number, since it uses less digits than its factorization.

10152344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10575379 (or 10575369 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 10152344640 its reverse (4644325101), we get a palindrome (14796669741).

The spelling of 10152344640 in words is "ten billion, one hundred fifty-two million, three hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 10575359 21150718 31726077 42301436 52876795 63452154 84602872 105753590 126904308 158630385 169205744 211507180 253808616 317260770 338411488 423014360 507617232 634521540 676822976 846028720 1015234464 1269043080 1692057440 2030468928 2538086160 3384114880 5076172320 10152344640