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104342224896 = 21937713
BaseRepresentation
bin110000100101101001…
…0000000000000000000
3100222022210022020000000
41201023102000000000
53202143102144041
6115533440000000
710352461164210
oct1411322000000
9328283266000
10104342224896
1140284513a18
1218280000000
139abb2c43a0
14509ba1a240
152aaa55ebb6
hex184b480000

104342224896 has 640 divisors, whose sum is σ = 385204512000. Its totient is φ = 27518828544.

The previous prime is 104342224859. The next prime is 104342224907. The reversal of 104342224896 is 698422243401.

104342224896 is a `hidden beast` number, since 1 + 0 + 4 + 342 + 224 + 89 + 6 = 666.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8026324986 + ... + 8026324998.

It is an arithmetic number, because the mean of its divisors is an integer number (601882050).

Almost surely, 2104342224896 is an apocalyptic number.

104342224896 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 104342224896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192602256000).

104342224896 is an abundant number, since it is smaller than the sum of its proper divisors (280862287104).

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

104342224896 is an frugal number, since it uses more digits than its factorization.

104342224896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 104342224896 in words is "one hundred four billion, three hundred forty-two million, two hundred twenty-four thousand, eight hundred ninety-six".