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18674394988032 = 293472272511129
BaseRepresentation
bin1000011111011111110001…
…01011011111111000000000
32110010020212200202200020000
410033233320223133320000
54421430130104104112
6103414522034120000
73635115626233440
oct417577053377000
973106780680200
1018674394988032
115a4a848148433
122117281120000
13a55cac521154
14487bba23a120
15225b6d0d07dc
hex10fbf8adfe00

18674394988032 has 800 divisors, whose sum is σ = 64293167473920. Its totient is φ = 5286187008000.

The previous prime is 18674394988019. The next prime is 18674394988159. The reversal of 18674394988032 is 23088949347681.

18674394988032 is a `hidden beast` number, since 1 + 8 + 6 + 74 + 39 + 498 + 8 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16540650444 + ... + 16540651572.

Almost surely, 218674394988032 is an apocalyptic number.

18674394988032 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 18674394988032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32146583736960).

18674394988032 is an abundant number, since it is smaller than the sum of its proper divisors (45618772485888).

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

18674394988032 is a wasteful number, since it uses less digits than its factorization.

18674394988032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 18674394988032 in words is "eighteen trillion, six hundred seventy-four billion, three hundred ninety-four million, nine hundred eighty-eight thousand, thirty-two".