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16906447008 = 253511239827
BaseRepresentation
bin11111011111011001…
…11110100010100000
31121122020110111100000
433233230332202200
5234111022301013
611433335500000
71135646266653
oct175754764240
947566414300
1016906447008
117196280960
123339b27600
1317957c91c9
14b654c989a
1568e397973
hex3efb3e8a0

16906447008 has 288 divisors, whose sum is σ = 54684564480. Its totient is φ = 5095560960.

The previous prime is 16906447007. The next prime is 16906447069. The reversal of 16906447008 is 80074460961.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (16906447007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20442691 + ... + 20443517.

It is an arithmetic number, because the mean of its divisors is an integer number (189876960).

Almost surely, 216906447008 is an apocalyptic number.

16906447008 is a gapful number since it is divisible by the number (18) 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 16906447008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27342282240).

16906447008 is an abundant number, since it is smaller than the sum of its proper divisors (37778117472).

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

16906447008 is a wasteful number, since it uses less digits than its factorization.

16906447008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16906447008 in words is "sixteen billion, nine hundred six million, four hundred forty-seven thousand, eight".