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104405521152 = 2831374212357
BaseRepresentation
bin110000100111100001…
…1011101001100000000
3100222111012102000010210
41201033003131030000
53202310303134102
6115544020354120
710354160200332
oct1411703351400
9328435360123
10104405521152
1140307216379
1218299245940
139acb4567aa
1450a61b5452
152ab0db436c
hex184f0dd300

104405521152 has 144 divisors (see below), whose sum is σ = 280683077472. Its totient is φ = 34451128320.

The previous prime is 104405521139. The next prime is 104405521169. The reversal of 104405521152 is 251125504401.

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, 44294758 + ... + 44297114.

It is an arithmetic number, because the mean of its divisors is an integer number (1949188038).

Almost surely, 2104405521152 is an apocalyptic number.

104405521152 is a gapful number since it is divisible by the number (12) 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 104405521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140341538736).

104405521152 is an abundant number, since it is smaller than the sum of its proper divisors (176277556320).

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

104405521152 is a wasteful number, since it uses less digits than its factorization.

104405521152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 104405521152 in words is "one hundred four billion, four hundred five million, five hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 256 274 384 411 421 548 768 822 842 1096 1263 1644 1684 2192 2357 2526 3288 3368 4384 4714 5052 6576 6736 7071 8768 9428 10104 13152 13472 14142 17536 18856 20208 26304 26944 28284 35072 37712 40416 52608 53888 56568 57677 75424 80832 105216 107776 113136 115354 150848 161664 173031 226272 230708 301696 322909 323328 346062 452544 461416 603392 645818 692124 905088 922832 968727 992297 1291636 1384248 1810176 1845664 1937454 1984594 2583272 2768496 2976891 3691328 3874908 3969188 5166544 5536992 5953782 7382656 7749816 7938376 10333088 11073984 11907564 14765312 15499632 15876752 20666176 22147968 23815128 30999264 31753504 41332352 44295936 47630256 61998528 63507008 82664704 95260512 123997056 127014016 135944689 190521024 247994112 254028032 271889378 381042048 407834067 543778756 762084096 815668134 1087557512 1631336268 2175115024 3262672536 4350230048 6525345072 8700460096 13050690144 17400920192 26101380288 34801840384 52202760576 104405521152