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12614605136 = 247294194727
BaseRepresentation
bin10111011111110001…
…11001100101010000
31012120010121100002122
423233320321211100
5201313314331021
65443422433412
7624413242310
oct135770714520
935503540078
1012614605136
115393685601
122540732868
1312605a50c3
148794c7440
154dc6c5bab
hex2efe39950

12614605136 has 80 divisors (see below), whose sum is σ = 29600605440. Its totient is φ = 5092469760.

The previous prime is 12614605127. The next prime is 12614605147. The reversal of 12614605136 is 63150641621.

It is a junction number, because it is equal to n+sod(n) for n = 12614605096 and 12614605105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85805 + ... + 180531.

It is an arithmetic number, because the mean of its divisors is an integer number (370007568).

Almost surely, 212614605136 is an apocalyptic number.

12614605136 is a gapful number since it is divisible by the number (16) 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 12614605136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14800302720).

12614605136 is an abundant number, since it is smaller than the sum of its proper divisors (16986000304).

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

12614605136 is a wasteful number, since it uses less digits than its factorization.

12614605136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94812 (or 94806 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 12614605136 in words is "twelve billion, six hundred fourteen million, six hundred five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 41 56 58 82 112 116 164 203 232 287 328 406 464 574 656 812 1148 1189 1624 2296 2378 3248 4592 4756 8323 9512 16646 19024 33292 66584 94727 133168 189454 378908 663089 757816 1326178 1515632 2652356 2747083 3883807 5304712 5494166 7767614 10609424 10988332 15535228 19229581 21976664 27186649 31070456 38459162 43953328 54373298 62140912 76918324 108746596 112630403 153836648 217493192 225260806 307673296 434986384 450521612 788412821 901043224 1576825642 1802086448 3153651284 6307302568 12614605136