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16979497920 = 26325711233329
BaseRepresentation
bin11111101000000111…
…01001001111000000
31121211022220212100100
433310003221033000
5234233222413140
611444505322400
71140524231250
oct176403511700
947738825310
1016979497920
117223536110
12335a496400
1317a79955b8
14b710a3960
156959c7530
hex3f40e93c0

16979497920 has 672 divisors, whose sum is σ = 76002001920. Its totient is φ = 3373793280.

The previous prime is 16979497919. The next prime is 16979497921. The reversal of 16979497920 is 2979497961.

It is an interprime number because it is at equal distance from previous prime (16979497919) and next prime (16979497921).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16979497921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5098816 + ... + 5102144.

Almost surely, 216979497920 is an apocalyptic number.

16979497920 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 16979497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38001000960).

16979497920 is an abundant number, since it is smaller than the sum of its proper divisors (59022504000).

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

16979497920 is a wasteful number, since it uses less digits than its factorization.

16979497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The spelling of 16979497920 in words is "sixteen billion, nine hundred seventy-nine million, four hundred ninety-seven thousand, nine hundred twenty".