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104713057656 = 233241137258919
BaseRepresentation
bin110000110000101100…
…0100111010101111000
3101000021122002110220200
41201201120213111320
53203423020321111
6120034324122200
710364613206244
oct1414130472570
9330248073820
10104713057656
1140454878079
1218364236360
139b4a092a5c
1450d4d8b424
152accdb1256
hex1861627578

104713057656 has 96 divisors (see below), whose sum is σ = 292636562400. Its totient is φ = 33804334080.

The previous prime is 104713057609. The next prime is 104713057667. The reversal of 104713057656 is 656750317401.

104713057656 is a `hidden beast` number, since 1 + 0 + 4 + 71 + 3 + 0 + 576 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274965 + ... + 533883.

It is an arithmetic number, because the mean of its divisors is an integer number (3048297525).

Almost surely, 2104713057656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104713057656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146318281200).

104713057656 is an abundant number, since it is smaller than the sum of its proper divisors (187923504744).

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

104713057656 is a wasteful number, since it uses less digits than its factorization.

104713057656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259109 (or 259102 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 104713057656 in words is "one hundred four billion, seven hundred thirteen million, fifty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 137 164 246 274 328 369 411 492 548 738 822 984 1096 1233 1476 1644 2466 2952 3288 4932 5617 9864 11234 16851 22468 33702 44936 50553 67404 101106 134808 202212 258919 404424 517838 776757 1035676 1553514 2071352 2330271 3107028 4660542 6214056 9321084 10615679 18642168 21231358 31847037 35471903 42462716 63694074 70943806 84925432 95541111 106415709 127388148 141887612 191082222 212831418 254776296 283775224 319247127 382164444 425662836 638494254 764328888 851325672 1276988508 1454348023 2553977016 2908696046 4363044069 5817392092 8726088138 11634784184 13089132207 17452176276 26178264414 34904352552 52356528828 104713057656