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104556628992 = 2103187118191
BaseRepresentation
bin110000101100000001…
…1111000110000000000
3100222212201202002010110
41201120003320300000
53203112444111432
6120011015231320
710361003453064
oct1413003706000
9328781662113
10104556628992
1140384544992
121831b978540
139b23852a0a
1450bc2abaa4
152abe2b1dcc
hex18580f8c00

104556628992 has 88 divisors (see below), whose sum is σ = 278845811712. Its totient is φ = 34831667200.

The previous prime is 104556628991. The next prime is 104556629011. The reversal of 104556628992 is 299826655401.

It is not an unprimeable number, because it can be changed into a prime (104556628991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5738617 + ... + 5756807.

Almost surely, 2104556628992 is an apocalyptic number.

104556628992 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 104556628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139422905856).

104556628992 is an abundant number, since it is smaller than the sum of its proper divisors (174289182720).

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

104556628992 is a wasteful number, since it uses less digits than its factorization.

104556628992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20085 (or 20067 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 104556628992 in words is "one hundred four billion, five hundred fifty-six million, six hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1871 3072 3742 5613 7484 11226 14968 18191 22452 29936 36382 44904 54573 59872 72764 89808 109146 119744 145528 179616 218292 239488 291056 359232 436584 478976 582112 718464 873168 957952 1164224 1436928 1746336 1915904 2328448 2873856 3492672 4656896 5747712 6985344 9313792 13970688 18627584 27941376 34035361 55882752 68070722 102106083 136141444 204212166 272282888 408424332 544565776 816848664 1089131552 1633697328 2178263104 3267394656 4356526208 6534789312 8713052416 13069578624 17426104832 26139157248 34852209664 52278314496 104556628992