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10264546112 = 26713895807
BaseRepresentation
bin10011000111101000…
…01000101101000000
3222111100112222011112
421203310020231000
5132010210433422
64414312502452
7512236126262
oct114364105500
928440488145
1010264546112
114398083467
121ba56aaa28
13c77753a32
146d5347b32
15401216ee2
hex263d08b40

10264546112 has 56 divisors (see below), whose sum is σ = 20712257280. Its totient is φ = 5046110720.

The previous prime is 10264546109. The next prime is 10264546139. The reversal of 10264546112 is 21164546201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 1764713 + ... + 1770519.

Almost surely, 210264546112 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 10264546112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10356128640).

10264546112 is an abundant number, since it is smaller than the sum of its proper divisors (10447711168).

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

10264546112 is an equidigital number, since it uses as much as digits as its factorization.

10264546112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6279 (or 6269 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 10264546112 in words is "ten billion, two hundred sixty-four million, five hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 71 142 284 389 568 778 1136 1556 2272 3112 4544 5807 6224 11614 12448 23228 24896 27619 46456 55238 92912 110476 185824 220952 371648 412297 441904 824594 883808 1649188 1767616 2258923 3298376 4517846 6596752 9035692 13193504 18071384 26387008 36142768 72285536 144571072 160383533 320767066 641534132 1283068264 2566136528 5132273056 10264546112