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104683104864 = 2533132716929
BaseRepresentation
bin110000101111110011…
…0010110101001100000
3101000012112201201102000
41201133212112221200
53203342333323424
6120031334124000
710364100465312
oct1413746265140
9330175651360
10104683104864
114043997a0a8
12183561b0600
139b43b06400
1450d0dd17b2
152aca4463c9
hex185f996a60

104683104864 has 144 divisors (see below), whose sum is σ = 330619438800. Its totient is φ = 32210141184.

The previous prime is 104683104839. The next prime is 104683104871. The reversal of 104683104864 is 468401386401.

104683104864 is a `hidden beast` number, since 1 + 0 + 468 + 3 + 104 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212449 + ... + 504480.

It is an arithmetic number, because the mean of its divisors is an integer number (2295968325).

Almost surely, 2104683104864 is an apocalyptic number.

It is an amenable number.

104683104864 is an abundant number, since it is smaller than the sum of its proper divisors (225936333936).

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

104683104864 is a wasteful number, since it uses less digits than its factorization.

104683104864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716974 (or 716947 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 104683104864 in words is "one hundred four billion, six hundred eighty-three million, one hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 169 208 216 234 288 312 338 351 416 432 468 507 624 676 702 864 936 1014 1248 1352 1404 1521 1872 2028 2704 2808 3042 3744 4056 4563 5408 5616 6084 8112 9126 11232 12168 16224 18252 24336 36504 48672 73008 146016 716929 1433858 2150787 2867716 4301574 5735432 6452361 8603148 9320077 11470864 12904722 17206296 18640154 19357083 22941728 25809444 27960231 34412592 37280308 38714166 51618888 55920462 68825184 74560616 77428332 83880693 103237776 111840924 121161001 149121232 154856664 167761386 206475552 223681848 242322002 251642079 298242464 309713328 335522772 363483003 447363696 484644004 503284158 619426656 671045544 726966006 894727392 969288008 1006568316 1090449009 1342091088 1453932012 1938576016 2013136632 2180898018 2684182176 2907864024 3271347027 3877152032 4026273264 4361796036 5815728048 6542694054 8052546528 8723592072 11631456096 13085388108 17447184144 26170776216 34894368288 52341552432 104683104864