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104160305664 = 293222604233
BaseRepresentation
bin110000100000001110…
…0000010001000000000
3100221212002222202201200
41201000130002020000
53201310014240124
6115503420501200
710345121663352
oct1410034021000
9327762882650
10104160305664
11401a0860348
121822b0aa800
139a8c6caa7c
1450817c30d2
152a995c7bc9
hex1840702200

104160305664 has 60 divisors (see below), whose sum is σ = 300613707966. Its totient is φ = 34720100352.

The previous prime is 104160305659. The next prime is 104160305723. The reversal of 104160305664 is 466503061401.

It is a happy number.

104160305664 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 60 + 30 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87001401600 + 17158904064 = 294960^2 + 130992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11297509 + ... + 11306724.

Almost surely, 2104160305664 is an apocalyptic number.

It is an amenable number.

104160305664 is an abundant number, since it is smaller than the sum of its proper divisors (196453402302).

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

104160305664 is an equidigital number, since it uses as much as digits as its factorization.

104160305664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22604257 (or 22604238 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 104160305664 in words is "one hundred four billion, one hundred sixty million, three hundred five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 22604233 45208466 67812699 90416932 135625398 180833864 203438097 271250796 361667728 406876194 542501592 723335456 813752388 1085003184 1446670912 1627504776 2170006368 2893341824 3255009552 4340012736 5786683648 6510019104 8680025472 11573367296 13020038208 17360050944 26040076416 34720101888 52080152832 104160305664