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12758507136 = 273211075093
BaseRepresentation
bin10111110000111011…
…10101111010000000
31012221011101022112100
423320131311322000
5202112134212021
65510003030400
7631111343544
oct137035657200
935834338470
1012758507136
115457932281
12258096b400
13128434a50b
14890665a24
154ea14d626
hex2f8775e80

12758507136 has 48 divisors (see below), whose sum is σ = 36713936610. Its totient is φ = 4252835328.

The previous prime is 12758507131. The next prime is 12758507137. The reversal of 12758507136 is 63170585721.

It is a happy number.

12758507136 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 8 + 507 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9829532736 + 2928974400 = 99144^2 + 54120^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12758507091 and 12758507100.

It is not an unprimeable number, because it can be changed into a prime (12758507131) 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, 5536395 + ... + 5538698.

Almost surely, 212758507136 is an apocalyptic number.

12758507136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12758507136 is an abundant number, since it is smaller than the sum of its proper divisors (23955429474).

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

12758507136 is a wasteful number, since it uses less digits than its factorization.

12758507136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11075113 (or 11075098 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 12758507136 in words is "twelve billion, seven hundred fifty-eight million, five hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11075093 22150186 33225279 44300372 66450558 88600744 99675837 132901116 177201488 199351674 265802232 354402976 398703348 531604464 708805952 797406696 1063208928 1417611904 1594813392 2126417856 3189626784 4252835712 6379253568 12758507136