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104569435008 = 2732892274493
BaseRepresentation
bin110000101100011010…
…0101111001110000000
3100222220121211200200100
41201120310233032000
53203124233410013
6120012153522400
710361220350313
oct1413064571600
9328817750610
10104569435008
11403907a1275
1218324113400
139b263b783c
1450bdc8297a
152ac0491473
hex1858d2f380

104569435008 has 192 divisors, whose sum is σ = 305698957200. Its totient is φ = 34305368064.

The previous prime is 104569435001. The next prime is 104569435051. The reversal of 104569435008 is 800534965401.

104569435008 is a `hidden beast` number, since 1 + 0 + 4 + 56 + 94 + 3 + 500 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104569435001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23271610 + ... + 23276102.

Almost surely, 2104569435008 is an apocalyptic number.

104569435008 is a gapful number since it is divisible by the number (18) 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 104569435008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152849478600).

104569435008 is an abundant number, since it is smaller than the sum of its proper divisors (201129522192).

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

104569435008 is a wasteful number, since it uses less digits than its factorization.

104569435008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 104569435008 in words is "one hundred four billion, five hundred sixty-nine million, four hundred thirty-five thousand, eight".