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16980399360 = 28345199823
BaseRepresentation
bin11111101000001110…
…00101010100000000
31121211101121122220000
433310013011110000
5234233440234420
611444540520000
71140535004331
oct176407052400
947741548800
1016980399360
117223aa1401
12335a850000
1317a7c1c9b2
14b7125a288
15695b04690
hex3f41c5500

16980399360 has 360 divisors, whose sum is σ = 61138492800. Its totient is φ = 4499877888.

The previous prime is 16980399299. The next prime is 16980399367. The reversal of 16980399360 is 6399308961.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 16980399297 and 16980399306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16980399367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20631909 + ... + 20632731.

Almost surely, 216980399360 is an apocalyptic number.

16980399360 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 16980399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30569246400).

16980399360 is an abundant number, since it is smaller than the sum of its proper divisors (44158093440).

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

16980399360 is an equidigital number, since it uses as much as digits as its factorization.

16980399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 16980399360 in words is "sixteen billion, nine hundred eighty million, three hundred ninety-nine thousand, three hundred sixty".