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104017142928 = 24329251463643
BaseRepresentation
bin110000011011111100…
…1111010010010010000
3100221111010121100101010
41200313321322102100
53201011342033203
6115441304210520
710341433061316
oct1406771722220
9327433540333
10104017142928
1140127a69036
12181ab169a40
139a68b53caa
14506a7980b6
152a8bc49303
hex1837e7a490

104017142928 has 160 divisors (see below), whose sum is σ = 280122071040. Its totient is φ = 33219648000.

The previous prime is 104017142923. The next prime is 104017142941. The reversal of 104017142928 is 829241710401.

It is not an unprimeable number, because it can be changed into a prime (104017142923) 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, 161768175 + ... + 161768817.

It is an arithmetic number, because the mean of its divisors is an integer number (1750762944).

Almost surely, 2104017142928 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 104017142928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140061035520).

104017142928 is an abundant number, since it is smaller than the sum of its proper divisors (176104928112).

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

104017142928 is a wasteful number, since it uses less digits than its factorization.

104017142928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 104017142928 in words is "one hundred four billion, seventeen million, one hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 251 348 463 464 502 643 696 753 926 1004 1286 1389 1392 1506 1852 1929 2008 2572 2778 3012 3704 3858 4016 5144 5556 6024 7279 7408 7716 10288 11112 12048 13427 14558 15432 18647 21837 22224 26854 29116 30864 37294 40281 43674 53708 55941 58232 74588 80562 87348 107416 111882 116213 116464 149176 161124 161393 174696 214832 223764 232426 297709 298352 322248 322786 348639 349392 447528 464852 484179 595418 644496 645572 697278 893127 895056 929704 968358 1190836 1291144 1394556 1786254 1859408 1936716 2381672 2582288 2789112 3370177 3572508 3873432 4680397 4763344 5578224 6740354 7145016 7746864 8633561 9360794 10110531 13480708 14041191 14290032 17267122 18721588 20221062 25900683 26961416 28082382 34534244 37443176 40442124 51801366 53922832 56164764 69068488 74724959 74886352 80884248 103602732 112329528 138136976 149449918 161768496 207205464 224174877 224659056 298899836 414410928 448349754 597799672 896699508 1195599344 1793399016 2167023811 3586798032 4334047622 6501071433 8668095244 13002142866 17336190488 26004285732 34672380976 52008571464 104017142928