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16997428800 = 2634521111923
BaseRepresentation
bin11111101010010000…
…00010111001000000
31121212120122211220000
433311020002321000
5234302320210200
611450345520000
71141132522002
oct176510027100
947776584800
1016997428800
117232672920
1233644a3000
1317ab602ca1
14b73610372
1569736a300
hex3f5202e40

16997428800 has 420 divisors, whose sum is σ = 68163832176. Its totient is φ = 4120243200.

The previous prime is 16997428793. The next prime is 16997428829. The reversal of 16997428800 is 882479961.

It is a super-2 number, since 2×169974288002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1419639 + ... + 1431561.

Almost surely, 216997428800 is an apocalyptic number.

16997428800 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 16997428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34081916088).

16997428800 is an abundant number, since it is smaller than the sum of its proper divisors (51166403376).

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

16997428800 is a wasteful number, since it uses less digits than its factorization.

16997428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11968 (or 11944 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 16997428800 in words is "sixteen billion, nine hundred ninety-seven million, four hundred twenty-eight thousand, eight hundred".