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104098904832 = 283131929127149
BaseRepresentation
bin110000011110011000…
…1110011101100000000
3100221200211110021121210
41200330301303230000
53201143304423312
6115453344450120
710343445043236
oct1407461635400
9327624407553
10104098904832
114016a132a5a
1218212619940
139a7ca80310
14507759c956
152a93ee9e3c
hex183cc73b00

104098904832 has 576 divisors, whose sum is σ = 329656320000. Its totient is φ = 28872474624.

The previous prime is 104098904801. The next prime is 104098904863. The reversal of 104098904832 is 238409890401.

It is an interprime number because it is at equal distance from previous prime (104098904801) and next prime (104098904863).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 698650294 + ... + 698650442.

It is an arithmetic number, because the mean of its divisors is an integer number (572320000).

Almost surely, 2104098904832 is an apocalyptic number.

104098904832 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 104098904832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164828160000).

104098904832 is an abundant number, since it is smaller than the sum of its proper divisors (225557415168).

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

104098904832 is a wasteful number, since it uses less digits than its factorization.

104098904832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 104098904832 in words is "one hundred four billion, ninety-eight million, nine hundred four thousand, eight hundred thirty-two".