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12877165120 = 265157256313
BaseRepresentation
bin10111111111000100…
…11111001001000000
31020020102122202200111
423333202133021000
5202333023240440
65525442201104
7634052045311
oct137742371100
936212582614
1012877165120
115508907826
1225b4653194
1312a2ac4641
148a2312608
1550578b4ea
hex2ff89f240

12877165120 has 56 divisors (see below), whose sum is σ = 30859180344. Its totient is φ = 5118038016.

The previous prime is 12877165109. The next prime is 12877165121. The reversal of 12877165120 is 2156177821.

It can be written as a sum of positive squares in 4 ways, for example, as 21233664 + 12855931456 = 4608^2 + 113384^2 .

It is a super-2 number, since 2×128771651202 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12877165121) 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, 77917 + ... + 178396.

Almost surely, 212877165120 is an apocalyptic number.

12877165120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12877165120 is an abundant number, since it is smaller than the sum of its proper divisors (17982015224).

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

12877165120 is a wasteful number, since it uses less digits than its factorization.

12877165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256487 (or 256477 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 40.

The spelling of 12877165120 in words is "twelve billion, eight hundred seventy-seven million, one hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 157 160 314 320 628 785 1256 1570 2512 3140 5024 6280 10048 12560 25120 50240 256313 512626 1025252 1281565 2050504 2563130 4101008 5126260 8202016 10252520 16404032 20505040 40241141 41010080 80482282 82020160 160964564 201205705 321929128 402411410 643858256 804822820 1287716512 1609645640 2575433024 3219291280 6438582560 12877165120