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14718521664 = 263671117241
BaseRepresentation
bin11011011010100101…
…01101000101000000
31101222202111101000000
431231102231011000
5220120420143124
610432301000000
71030511240610
oct155522550500
941882441000
1014718521664
1162732491a0
122a29253000
131507434822
149d8ab2a40
155b22636c9
hex36d4ad140

14718521664 has 784 divisors, whose sum is σ = 58047428736. Its totient is φ = 3583180800.

The previous prime is 14718521663. The next prime is 14718521669. The reversal of 14718521664 is 46612581741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14718521663) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 61072584 + ... + 61072824.

Almost surely, 214718521664 is an apocalyptic number.

14718521664 is a gapful number since it is divisible by the number (14) 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 14718521664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29023714368).

14718521664 is an abundant number, since it is smaller than the sum of its proper divisors (43328907072).

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

14718521664 is a wasteful number, since it uses less digits than its factorization.

14718521664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 281 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 14718521664 in words is "fourteen billion, seven hundred eighteen million, five hundred twenty-one thousand, six hundred sixty-four".