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10293257232 = 243271480953
BaseRepresentation
bin10011001011000011…
…01010010000010000
3222120100120122102100
421211201222100100
5132040033212412
64421220120400
7513035146206
oct114541522020
928510518370
1010293257232
114402303565
121bb3236100
13c8069716b
146d909d076
154039d8edc
hex26586a410

10293257232 has 30 divisors (see below), whose sum is σ = 28806824462. Its totient is φ = 3431085696.

The previous prime is 10293257213. The next prime is 10293257263. The reversal of 10293257232 is 23275239201.

It is a happy number.

10293257232 is a `hidden beast` number, since 1 + 0 + 29 + 32 + 572 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9142419456 + 1150837776 = 95616^2 + 33924^2 .

It is a super-2 number, since 2×102932572322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35740333 + ... + 35740620.

Almost surely, 210293257232 is an apocalyptic number.

10293257232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10293257232 is an abundant number, since it is smaller than the sum of its proper divisors (18513567230).

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

10293257232 is a wasteful number, since it uses less digits than its factorization.

10293257232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71480967 (or 71480958 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 10293257232 in words is "ten billion, two hundred ninety-three million, two hundred fifty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 71480953 142961906 214442859 285923812 428885718 571847624 643328577 857771436 1143695248 1286657154 1715542872 2573314308 3431085744 5146628616 10293257232