Search a number
-
+
12882676032 = 263229771233
BaseRepresentation
bin10111111111101111…
…00000100101000000
31020020211000202020100
423333313200211000
5202340431113112
65530200242400
7634146640152
oct137767404500
936224022210
1012882676032
115510a311a6
1225b6470400
1312a3ca3b35
148a2d48ad2
15505ec92dc
hex2ffde0940

12882676032 has 84 divisors (see below), whose sum is σ = 38199220020. Its totient is φ = 4146143232.

The previous prime is 12882675997. The next prime is 12882676069. The reversal of 12882676032 is 23067628821.

12882676032 is a `hidden beast` number, since 12 + 8 + 8 + 26 + 7 + 603 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8190974016 + 4691702016 = 90504^2 + 68496^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368913 + ... + 402320.

Almost surely, 212882676032 is an apocalyptic number.

12882676032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12882676032 is an abundant number, since it is smaller than the sum of its proper divisors (25316543988).

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

12882676032 is a wasteful number, since it uses less digits than its factorization.

12882676032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771280 (or 771267 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12882676032 in words is "twelve billion, eight hundred eighty-two million, six hundred seventy-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 8352 16704 771233 1542466 2313699 3084932 4627398 6169864 6941097 9254796 12339728 13882194 18509592 22365757 24679456 27764388 37019184 44731514 49358912 55528776 67097271 74038368 89463028 111057552 134194542 148076736 178926056 201291813 222115104 268389084 357852112 402583626 444230208 536778168 715704224 805167252 1073556336 1431408448 1610334504 2147112672 3220669008 4294225344 6441338016 12882676032