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12758886489672 = 2332177206756801
BaseRepresentation
bin1011100110101010100011…
…1001011001111001001000
31200011201220201220010021100
42321222220321121321020
53133020144420132142
643045203533141400
72454541046520651
oct271525071317110
950151821803240
1012758886489672
11407a016888794
12152091132a860
137172089b574b
1432176791c528
15171d4bac6b4c
hexb9aa8e59e48

12758886489672 has 24 divisors (see below), whose sum is σ = 34555317576390. Its totient is φ = 4252962163200.

The previous prime is 12758886489649. The next prime is 12758886489677. The reversal of 12758886489672 is 27698468885721.

12758886489672 is a `hidden beast` number, since 1 + 2 + 7 + 58 + 8 + 86 + 489 + 6 + 7 + 2 = 666.

12758886489672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12380447439396 + 378439050276 = 3518586^2 + 615174^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 12758886489591 and 12758886489600.

It is not an unprimeable number, because it can be changed into a prime (12758886489677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88603378329 + ... + 88603378472.

Almost surely, 212758886489672 is an apocalyptic number.

12758886489672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12758886489672 is an abundant number, since it is smaller than the sum of its proper divisors (21796431086718).

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

12758886489672 is a wasteful number, since it uses less digits than its factorization.

12758886489672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177206756813 (or 177206756806 counting only the distinct ones).

The product of its digits is 5202247680, while the sum is 81.

The spelling of 12758886489672 in words is "twelve trillion, seven hundred fifty-eight billion, eight hundred eighty-six million, four hundred eighty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 177206756801 354413513602 531620270403 708827027204 1063240540806 1417654054408 1594860811209 2126481081612 3189721622418 4252962163224 6379443244836 12758886489672