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102969823824 = 243274431691
BaseRepresentation
bin101111111100101111…
…0101101001001010000
3100211210010220000122200
41133321132231021100
53141340233330244
6115145332403200
710303455030000
oct1377136551120
9324703800580
10102969823824
113a73a86575a
1217b58476500
13992cb89a4a
144dab650000
152a29d1c669
hex17f97ad250

102969823824 has 300 divisors, whose sum is σ = 337448884032. Its totient is φ = 29309212800.

The previous prime is 102969823799. The next prime is 102969823861. The reversal of 102969823824 is 428328969201.

102969823824 is a `hidden beast` number, since 10 + 296 + 98 + 238 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 149015319 + ... + 149016009.

Almost surely, 2102969823824 is an apocalyptic number.

102969823824 is a gapful number since it is divisible by the number (14) 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 102969823824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168724442016).

102969823824 is an abundant number, since it is smaller than the sum of its proper divisors (234479060208).

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

102969823824 is an equidigital number, since it uses as much as digits as its factorization.

102969823824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 102969823824 in words is "one hundred two billion, nine hundred sixty-nine million, eight hundred twenty-three thousand, eight hundred twenty-four".