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104344707000576 = 2837102253189817
BaseRepresentation
bin10111101110011010100101…
…001100011110100100000000
3111200110020221001001012101010
4113232122211030132210000
5102134040424443004301
61005531144024040520
730656441053254420
oct2756324514364400
9450406831035333
10104344707000576
113027a3839282a9
12b852853303140
13462b882064b73
141baa44ca52480
15c0e3a2c9c5d6
hex5ee6a531e900

104344707000576 has 144 divisors (see below), whose sum is σ = 317386593071744. Its totient is φ = 29812324810752.

The previous prime is 104344707000557. The next prime is 104344707000629. The reversal of 104344707000576 is 675000707443401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549617220 + ... + 549807036.

Almost surely, 2104344707000576 is an apocalyptic number.

104344707000576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104344707000576 is an abundant number, since it is smaller than the sum of its proper divisors (213041886071168).

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

104344707000576 is a wasteful number, since it uses less digits than its factorization.

104344707000576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292096 (or 292082 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The spelling of 104344707000576 in words is "one hundred four trillion, three hundred forty-four billion, seven hundred seven million, five hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 102253 189817 204506 306759 379634 409012 569451 613518 715771 759268 818024 1138902 1227036 1328719 1431542 1518536 1636048 2147313 2277804 2454072 2657438 2863084 3037072 3272096 3986157 4294626 4555608 4908144 5314876 5726168 6074144 6544192 7972314 8589252 9111216 9816288 10629752 11452336 12148288 13088384 15944628 17178504 18222432 19632576 21259504 22904672 24296576 26176768 31889256 34357008 36444864 39265152 42519008 45809344 48593152 63778512 68714016 72889728 78530304 85038016 91618688 127557024 137428032 145779456 170076032 183237376 255114048 274856064 340152064 510228096 549712128 1020456192 19409357701 38818715402 58228073103 77637430804 116456146206 135865503907 155274861608 232912292412 271731007814 310549723216 407596511721 465824584824 543462015628 621099446432 815193023442 931649169648 1086924031256 1242198892864 1630386046884 1863298339296 2173848062512 2484397785728 3260772093768 3726596678592 4347696125024 4968795571456 6521544187536 7453193357184 8695392250048 13043088375072 14906386714368 17390784500096 26086176750144 34781569000192 52172353500288 104344707000576