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104406560154 = 232131765939827
BaseRepresentation
bin110000100111100011…
…1011010110110011010
3100222111021100210101100
41201033013122312122
53202311034411104
6115544054532230
710354202055441
oct1411707326632
9328437323340
10104406560154
1140307865a56
1218299667076
139acb72b6a0
1450a63a5d58
152ab101c139
hex184f1dad9a

104406560154 has 96 divisors (see below), whose sum is σ = 258343525440. Its totient is φ = 30188745216.

The previous prime is 104406560059. The next prime is 104406560191. The reversal of 104406560154 is 451065604401.

104406560154 is a `hidden beast` number, since 1 + 0 + 4 + 40 + 6 + 5 + 601 + 5 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2601589 + ... + 2641415.

It is an arithmetic number, because the mean of its divisors is an integer number (2691078390).

Almost surely, 2104406560154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104406560154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129171762720).

104406560154 is an abundant number, since it is smaller than the sum of its proper divisors (153936965286).

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

104406560154 is a wasteful number, since it uses less digits than its factorization.

104406560154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40524 (or 40521 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 104406560154 in words is "one hundred four billion, four hundred six million, five hundred sixty thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 659 663 1318 1326 1977 1989 3954 3978 5931 8567 11203 11862 17134 22406 25701 33609 39827 51402 67218 77103 79654 100827 119481 145639 154206 201654 238962 291278 358443 436917 517751 677059 716886 873834 1035502 1310751 1354118 1553253 2031177 2621502 3106506 4062354 4659759 6093531 8801767 9319518 12187062 17603534 26245993 26405301 52491986 52810602 78737979 79215903 157475958 158431806 236213937 341197909 446181881 472427874 682395818 892363762 1023593727 1338545643 2047187454 2677091286 3070781181 4015636929 5800364453 6141562362 8031273858 11600728906 17401093359 34802186718 52203280077 104406560154