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104566435020 = 2232519236719841
BaseRepresentation
bin110000101100010100…
…1010010110011001100
3100222220102012021110200
41201120221102303030
53203123001410040
6120012005333500
710361153014065
oct1413051226314
9328812167420
10104566435020
114038a032343
1218323107290
139b258a71b8
1450bd70156c
152ac009c630
hex1858a52ccc

104566435020 has 288 divisors, whose sum is σ = 353613012480. Its totient is φ = 24889835520.

The previous prime is 104566435019. The next prime is 104566435063. The reversal of 104566435020 is 20534665401.

104566435020 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 6 + 643 + 5 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5260300 + ... + 5280140.

It is an arithmetic number, because the mean of its divisors is an integer number (1227822960).

Almost surely, 2104566435020 is an apocalyptic number.

104566435020 is a gapful number since it is divisible by the number (10) 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 104566435020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176806506240).

104566435020 is an abundant number, since it is smaller than the sum of its proper divisors (249046577460).

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

104566435020 is a wasteful number, since it uses less digits than its factorization.

104566435020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19965 (or 19960 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 104566435020 in words is "one hundred four billion, five hundred sixty-six million, four hundred thirty-five thousand, twenty".