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104960978352 = 2432728895683
BaseRepresentation
bin110000111000000101…
…0010110110110110000
3101000220220121011011200
41201300022112312300
53204430002301402
6120115102011200
710404013411146
oct1416012266660
9330826534150
10104960978352
114057181060a
1218413276b00
139b89557ba9
145119c85596
152ae4a3421c
hex1870296db0

104960978352 has 30 divisors (see below), whose sum is σ = 293744960652. Its totient is φ = 34986992736.

The previous prime is 104960978351. The next prime is 104960978387. The reversal of 104960978352 is 253879069401.

104960978352 is a `hidden beast` number, since 10 + 496 + 0 + 97 + 8 + 3 + 52 = 666.

It is a super-2 number, since 2×1049609783522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104960978351) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 364447698 + ... + 364447985.

It is a 1-persistent number, because it is pandigital, but 2⋅104960978352 = 209921956704 is not.

Almost surely, 2104960978352 is an apocalyptic number.

104960978352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104960978352 is an abundant number, since it is smaller than the sum of its proper divisors (188783982300).

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

104960978352 is a wasteful number, since it uses less digits than its factorization.

104960978352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728895697 (or 728895688 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 104960978352 in words is "one hundred four billion, nine hundred sixty million, nine hundred seventy-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 728895683 1457791366 2186687049 2915582732 4373374098 5831165464 6560061147 8746748196 11662330928 13120122294 17493496392 26240244588 34986992784 52480489176 104960978352