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104226615688 = 231319151349313
BaseRepresentation
bin110000100010001100…
…0111111000110001000
3100222000201202122222111
41201010120333012020
53201424003200223
6115514150032104
710346555421136
oct1410430770610
9328021678874
10104226615688
1140225231018
1218249348634
139aa0376b80
14508a524756
152aa032530d
hex184463f188

104226615688 has 64 divisors (see below), whose sum is σ = 223002057600. Its totient is φ = 45270835200.

The previous prime is 104226615679. The next prime is 104226615719. The reversal of 104226615688 is 886516622401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123720 + ... + 473032.

It is an arithmetic number, because the mean of its divisors is an integer number (3484407150).

Almost surely, 2104226615688 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 104226615688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111501028800).

104226615688 is an abundant number, since it is smaller than the sum of its proper divisors (118775441912).

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

104226615688 is a wasteful number, since it uses less digits than its factorization.

104226615688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349502 (or 349498 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The spelling of 104226615688 in words is "one hundred four billion, two hundred twenty-six million, six hundred fifteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 151 152 247 302 494 604 988 1208 1963 1976 2869 3926 5738 7852 11476 15704 22952 37297 74594 149188 298376 349313 698626 1397252 2794504 4541069 6636947 9082138 13273894 18164276 26547788 36328552 52746263 53095576 86280311 105492526 172560622 210985052 345121244 421970104 685701419 690242488 1002178997 1371402838 2004357994 2742805676 4008715988 5485611352 8017431976 13028326961 26056653922 52113307844 104226615688