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10077630144 = 26373719009
BaseRepresentation
bin10010110001010110…
…00110111011000000
3222000022211122122220
421120223012323000
5131114333131034
64343554331040
7504506304621
oct113053067300
928008748586
1010077630144
11430161775a
121b52b89a80
13c47acac7a
146b85ada48
153deae4749
hex258ac6ec0

10077630144 has 56 divisors (see below), whose sum is σ = 27029023920. Its totient is φ = 3313188864.

The previous prime is 10077630131. The next prime is 10077630149. The reversal of 10077630144 is 44103677001.

It is not an unprimeable number, because it can be changed into a prime (10077630149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345489 + ... + 373520.

Almost surely, 210077630144 is an apocalyptic number.

It is an amenable number.

10077630144 is an abundant number, since it is smaller than the sum of its proper divisors (16951393776).

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

10077630144 is an equidigital number, since it uses as much as digits as its factorization.

10077630144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719097 (or 719087 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 10077630144 in words is "ten billion, seventy-seven million, six hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3504 4672 7008 14016 719009 1438018 2157027 2876036 4314054 5752072 8628108 11504144 17256216 23008288 34512432 46016576 52487657 69024864 104975314 138049728 157462971 209950628 314925942 419901256 629851884 839802512 1259703768 1679605024 2519407536 3359210048 5038815072 10077630144