Search a number
-
+
14817392640 = 21133553593
BaseRepresentation
bin11011100110010111…
…10111100000000000
31102020122112112111000
431303023313200000
5220321223031030
610450152052000
71033121521311
oct156313674000
942218475430
1014817392640
116314039446
122a56394000
131521a7146b
14a07c8c608
155bac93860
hex3732f7800

14817392640 has 192 divisors, whose sum is σ = 52672183200. Its totient is φ = 3951230976.

The previous prime is 14817392621. The next prime is 14817392651. The reversal of 14817392640 is 4629371841.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249684 + ... + 303276.

Almost surely, 214817392640 is an apocalyptic number.

14817392640 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 14817392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26336091600).

14817392640 is an abundant number, since it is smaller than the sum of its proper divisors (37854790560).

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

14817392640 is an equidigital number, since it uses as much as digits as its factorization.

14817392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53629 (or 53603 counting only the distinct ones).

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

The spelling of 14817392640 in words is "fourteen billion, eight hundred seventeen million, three hundred ninety-two thousand, six hundred forty".