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104915324665536 = 263711174110181557
BaseRepresentation
bin10111110110101110000000…
…101010000111111011000000
3111202110210210100211222112020
4113312232000222013323000
5102222413041103244121
61011045233525001440
731045611356345160
oct2766560052077300
9452423710758466
10104915324665536
113047a380700680
12b925361b53280
13467061b59c4b8
141bc9d009125a0
15c1e14d34d1c6
hex5f6b80a87ec0

104915324665536 has 448 divisors, whose sum is σ = 375379870731264. Its totient is φ = 25022192025600.

The previous prime is 104915324665517. The next prime is 104915324665559. The reversal of 104915324665536 is 635566423519401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1049153246655362 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104915324665536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5213670 + ... + 15395226.

It is an arithmetic number, because the mean of its divisors is an integer number (837901497168).

Almost surely, 2104915324665536 is an apocalyptic number.

104915324665536 is a gapful number since it is divisible by the number (16) 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 104915324665536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187689935365632).

104915324665536 is an abundant number, since it is smaller than the sum of its proper divisors (270464546065728).

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

104915324665536 is a wasteful number, since it uses less digits than its factorization.

104915324665536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10181648 (or 10181638 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 60.

The spelling of 104915324665536 in words is "one hundred four trillion, nine hundred fifteen billion, three hundred twenty-four million, six hundred sixty-five thousand, five hundred thirty-six".