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16692487920 = 24325107389557
BaseRepresentation
bin11111000101111001…
…10010011011110000
31121002022212020122100
433202330302123300
5233141234103140
611400213540400
71130440543353
oct174274623360
947068766570
1016692487920
117096524269
12329a344700
1317603952b4
14b44d1229a
1567a6d2530
hex3e2f326f0

16692487920 has 240 divisors, whose sum is σ = 56830157280. Its totient is φ = 4390496256.

The previous prime is 16692487913. The next prime is 16692487939. The reversal of 16692487920 is 2978429661.

16692487920 is a `hidden beast` number, since 16 + 69 + 2 + 487 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29968282 + ... + 29968838.

It is an arithmetic number, because the mean of its divisors is an integer number (236792322).

Almost surely, 216692487920 is an apocalyptic number.

16692487920 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 16692487920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28415078640).

16692487920 is an abundant number, since it is smaller than the sum of its proper divisors (40137669360).

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

16692487920 is a wasteful number, since it uses less digits than its factorization.

16692487920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 16692487920 in words is "sixteen billion, six hundred ninety-two million, four hundred eighty-seven thousand, nine hundred twenty".