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104487056352 = 25337371732699
BaseRepresentation
bin110000101001111101…
…0011111001111100000
3100222200212211102102000
41201103322133033200
53202442141300402
6120000052124000
710356200216310
oct1412372371740
9328625742360
10104487056352
1140349245a38
1218300606600
139b12303883
1450b2d5b440
152ab811cc1c
hex1853e9f3e0

104487056352 has 384 divisors, whose sum is σ = 359904384000. Its totient is φ = 28867995648.

The previous prime is 104487056321. The next prime is 104487056357. The reversal of 104487056352 is 253650784401.

104487056352 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 8 + 7 + 0 + 5 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104487056298 and 104487056307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104487056357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38711899 + ... + 38714597.

It is an arithmetic number, because the mean of its divisors is an integer number (937251000).

Almost surely, 2104487056352 is an apocalyptic number.

104487056352 is a gapful number since it is divisible by the number (12) 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 104487056352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179952192000).

104487056352 is an abundant number, since it is smaller than the sum of its proper divisors (255417327648).

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

104487056352 is a wasteful number, since it uses less digits than its factorization.

104487056352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 104487056352 in words is "one hundred four billion, four hundred eighty-seven million, fifty-six thousand, three hundred fifty-two".