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12873761712 = 2432789143501
BaseRepresentation
bin10111111110101011…
…00000001110110000
31020020012020212002100
423333111200032300
5202331140333322
65525241220400
7634011111660
oct137725401660
936205225070
1012873761712
1155069a2799
1225b3491700
1312a21a24a6
148a1aa81a0
15505317dac
hex2ff5603b0

12873761712 has 120 divisors (see below), whose sum is σ = 41638540320. Its totient is φ = 3636864000.

The previous prime is 12873761633. The next prime is 12873761743. The reversal of 12873761712 is 21716737821.

12873761712 is a `hidden beast` number, since 1 + 28 + 7 + 3 + 7 + 617 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17962 + ... + 161462.

It is an arithmetic number, because the mean of its divisors is an integer number (346987836).

Almost surely, 212873761712 is an apocalyptic number.

12873761712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12873761712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20819270160).

12873761712 is an abundant number, since it is smaller than the sum of its proper divisors (28764778608).

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

12873761712 is a wasteful number, since it uses less digits than its factorization.

12873761712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143611 (or 143602 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The spelling of 12873761712 in words is "twelve billion, eight hundred seventy-three million, seven hundred sixty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 89 112 126 144 168 178 252 267 336 356 504 534 623 712 801 1008 1068 1246 1424 1602 1869 2136 2492 3204 3738 4272 4984 5607 6408 7476 9968 11214 12816 14952 22428 29904 44856 89712 143501 287002 430503 574004 861006 1004507 1148008 1291509 1722012 2009014 2296016 2583018 3013521 3444024 4018028 5166036 6027042 6888048 8036056 9040563 10332072 12054084 12771589 16072112 18081126 20664144 24108168 25543178 36162252 38314767 48216336 51086356 72324504 76629534 89401123 102172712 114944301 144649008 153259068 178802246 204345424 229888602 268203369 306518136 357604492 459777204 536406738 613036272 715208984 804610107 919554408 1072813476 1430417968 1609220214 1839108816 2145626952 3218440428 4291253904 6436880856 12873761712