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104928949296 = 243231160714627
BaseRepresentation
bin110000110111001000…
…0001011010000110000
3101000211200022220120100
41201232100023100300
53204343302334141
6120111555312400
710403144232033
oct1415620132060
9330750286510
10104928949296
1140555724716
12184045ab700
139b82a224a2
14511590901a
152ae1d090b6
hex186e40b430

104928949296 has 120 divisors (see below), whose sum is σ = 303337442304. Its totient is φ = 33824672640.

The previous prime is 104928949247. The next prime is 104928949297. The reversal of 104928949296 is 692949829401.

104928949296 is a `hidden beast` number, since 1 + 0 + 492 + 89 + 49 + 29 + 6 = 666.

It is a super-2 number, since 2×1049289492962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104928949297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7166335 + ... + 7180961.

Almost surely, 2104928949296 is an apocalyptic number.

104928949296 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 104928949296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151668721152).

104928949296 is an abundant number, since it is smaller than the sum of its proper divisors (198408493008).

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

104928949296 is a wasteful number, since it uses less digits than its factorization.

104928949296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16279 (or 16270 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 104928949296 in words is "one hundred four billion, nine hundred twenty-eight million, nine hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 1607 2232 3214 4464 4821 6428 9642 12856 14463 14627 19284 25712 28926 29254 38568 43881 49817 57852 58508 77136 87762 99634 115704 117016 131643 149451 175524 199268 231408 234032 263286 298902 351048 398536 448353 453437 526572 597804 702096 797072 896706 906874 1053144 1195608 1360311 1793412 1813748 2106288 2391216 2720622 3586824 3627496 4080933 5441244 7173648 7254992 8161866 10882488 16323732 21764976 23505589 32647464 47011178 65294928 70516767 94022356 141033534 188044712 211550301 282067068 376089424 423100602 564134136 728673259 846201204 1128268272 1457346518 1692402408 2186019777 2914693036 3384804816 4372039554 5829386072 6558059331 8744079108 11658772144 13116118662 17488158216 26232237324 34976316432 52464474648 104928949296