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104560951088 = 24111960152027
BaseRepresentation
bin110000101100001010…
…0010111111100110000
3100222220000212122221002
41201120110113330300
53203120100413323
6120011252021132
710361055263666
oct1413024277460
9328800778832
10104560951088
1140386a27170
12183213017a8
139b24707079
1450bcab4c36
152abe867828
hex1858517f30

104560951088 has 80 divisors (see below), whose sum is σ = 233027168640. Its totient is φ = 44950464000.

The previous prime is 104560951067. The next prime is 104560951109. The reversal of 104560951088 is 880159065401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104560951067) and next prime (104560951109).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1983731 + ... + 2035757.

It is an arithmetic number, because the mean of its divisors is an integer number (2912839608).

Almost surely, 2104560951088 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 104560951088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116513584320).

104560951088 is an abundant number, since it is smaller than the sum of its proper divisors (128466217552).

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

104560951088 is a wasteful number, since it uses less digits than its factorization.

104560951088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52666 (or 52660 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 47.

The spelling of 104560951088 in words is "one hundred four billion, five hundred sixty million, nine hundred fifty-one thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 601 836 1202 1672 2404 3344 4808 6611 9616 11419 13222 22838 26444 45676 52027 52888 91352 104054 105776 125609 182704 208108 251218 416216 502436 572297 832432 988513 1004872 1144594 1977026 2009744 2289188 3954052 4578376 7908104 9156752 10873643 15816208 21747286 31268227 43494572 62536454 86989144 125072908 173978288 250145816 343950497 500291632 594096313 687900994 1188192626 1375801988 2376385252 2751603976 4752770504 5503207952 6535059443 9505541008 13070118886 26140237772 52280475544 104560951088