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16979683320 = 2335531371523
BaseRepresentation
bin11111101000001000…
…10110011111111000
31121211100021021200000
433310010112133320
5234233244331240
611444513313000
71140525632625
oct176404263770
947740237600
1016979683320
117223652436
12335a565760
1317a7a2bac2
14b7111134c
15695a12430
hex3f41167f8

16979683320 has 384 divisors, whose sum is σ = 60710307840. Its totient is φ = 4260625920.

The previous prime is 16979683313. The next prime is 16979683403. The reversal of 16979683320 is 2338697961.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 11148079 + ... + 11149601.

It is an arithmetic number, because the mean of its divisors is an integer number (158099760).

Almost surely, 216979683320 is an apocalyptic number.

16979683320 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 16979683320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30355153920).

16979683320 is an abundant number, since it is smaller than the sum of its proper divisors (43730624520).

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

16979683320 is a wasteful number, since it uses less digits than its factorization.

16979683320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

It can be divided in two parts, 169796 and 83320, that added together give a triangular number (253116 = T711).

The spelling of 16979683320 in words is "sixteen billion, nine hundred seventy-nine million, six hundred eighty-three thousand, three hundred twenty".