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104230495872 = 2733233129439
BaseRepresentation
bin110000100010010011…
…1110010011010000000
3100222001000001210121000
41201010213302122000
53201431001331442
6115514405132000
710346633411466
oct1410447623200
9328030053530
10104230495872
1140227441288
121824a6ba000
139aa1105039
14508ac54836
152aa083ed4c
hex18449f2680

104230495872 has 128 divisors (see below), whose sum is σ = 308947392000. Its totient is φ = 34594117632.

The previous prime is 104230495871. The next prime is 104230495907. The reversal of 104230495872 is 278594032401.

104230495872 is a `hidden beast` number, since 1 + 0 + 4 + 23 + 0 + 49 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (104230495871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 740529 + ... + 869967.

It is an arithmetic number, because the mean of its divisors is an integer number (2413651500).

Almost surely, 2104230495872 is an apocalyptic number.

104230495872 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 104230495872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154473696000).

104230495872 is an abundant number, since it is smaller than the sum of its proper divisors (204716896128).

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

104230495872 is a wasteful number, since it uses less digits than its factorization.

104230495872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129695 (or 129677 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 104230495872 in words is "one hundred four billion, two hundred thirty million, four hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 233 288 384 432 466 576 699 864 932 1152 1398 1728 1864 2097 2796 3456 3728 4194 5592 6291 7456 8388 11184 12582 14912 16776 22368 25164 29824 33552 44736 50328 67104 89472 100656 129439 134208 201312 258878 268416 388317 402624 517756 776634 805248 1035512 1164951 1553268 2071024 2329902 3106536 3494853 4142048 4659804 6213072 6989706 8284096 9319608 12426144 13979412 16568192 18639216 24852288 27958824 30159287 37278432 49704576 55917648 60318574 74556864 90477861 111835296 120637148 149113728 180955722 223670592 241274296 271433583 361911444 447341184 482548592 542867166 723822888 814300749 965097184 1085734332 1447645776 1628601498 1930194368 2171468664 2895291552 3257202996 3860388736 4342937328 5790583104 6514405992 8685874656 11581166208 13028811984 17371749312 26057623968 34743498624 52115247936 104230495872