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104393603952 = 243311191156229
BaseRepresentation
bin110000100111001010…
…1111111101101110000
3100222110100222112211000
41201032111333231300
53202244230311302
6115542513122000
710353653664321
oct1411625775560
9328410875730
10104393603952
1140300516850
1218295259300
139ac8b433b1
1450a4792448
152aaed0d31c
hex184e57fb70

104393603952 has 160 divisors (see below), whose sum is σ = 344094048000. Its totient is φ = 29969429760.

The previous prime is 104393603891. The next prime is 104393603953. The reversal of 104393603952 is 259306393401.

104393603952 is a `hidden beast` number, since 1 + 0 + 4 + 39 + 3 + 603 + 9 + 5 + 2 = 666.

104393603952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 104393603898 and 104393603907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104393603953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487827 + ... + 668402.

It is an arithmetic number, because the mean of its divisors is an integer number (2150587800).

Almost surely, 2104393603952 is an apocalyptic number.

104393603952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104393603952 is an abundant number, since it is smaller than the sum of its proper divisors (239700444048).

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

104393603952 is a wasteful number, since it uses less digits than its factorization.

104393603952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156276 (or 1156264 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 104393603952 in words is "one hundred four billion, three hundred ninety-three million, six hundred three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 44 48 54 57 66 72 76 88 99 108 114 132 144 152 171 176 198 209 216 228 264 297 304 342 396 418 432 456 513 528 594 627 684 792 836 912 1026 1188 1254 1368 1584 1672 1881 2052 2376 2508 2736 3344 3762 4104 4752 5016 5643 7524 8208 10032 11286 15048 22572 30096 45144 90288 1156229 2312458 3468687 4624916 6937374 9249832 10406061 12718519 13874748 18499664 20812122 21968351 25437038 27749496 31218183 38155557 41624244 43936702 50874076 55498992 62436366 65905053 76311114 83248488 87873404 101748152 114466671 124872732 131810106 152622228 166496976 175746808 197715159 203496304 228933342 241651861 249745464 263620212 305244456 343400013 351493616 395430318 457866684 483303722 499490928 527240424 593145477 610488912 686800026 724955583 790860636 915733368 966607444 1054480848 1186290954 1373600052 1449911166 1581721272 1831466736 1933214888 2174866749 2372581908 2747200104 2899822332 3163442544 3866429776 4349733498 4745163816 5494400208 5799644664 6524600247 8699466996 9490327632 11599289328 13049200494 17398933992 26098400988 34797867984 52196801976 104393603952