Search a number
-
+
14537542656 = 21037213171923
BaseRepresentation
bin11011000101000000…
…10100110000000000
31101112010221200110210
431202200110300000
5214233102331111
610402313554120
71023153034200
oct154240246000
941463850423
1014537542656
116190077a6a
122998715940
1314a8aaa160
149bca42400
155a14150a6
hex362814c00

14537542656 has 1056 divisors, whose sum is σ = 56453967360. Its totient is φ = 3269984256.

The previous prime is 14537542627. The next prime is 14537542661. The reversal of 14537542656 is 65624573541.

It is a super-2 number, since 2×145375426562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (3024000) is a multiple of the sum of its prime divisors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 632067061 + ... + 632067083.

Almost surely, 214537542656 is an apocalyptic number.

14537542656 is a gapful number since it is divisible by the number (16) 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 14537542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28226983680).

14537542656 is an abundant number, since it is smaller than the sum of its proper divisors (41916424704).

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

14537542656 is a wasteful number, since it uses less digits than its factorization.

14537542656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 48.

The spelling of 14537542656 in words is "fourteen billion, five hundred thirty-seven million, five hundred forty-two thousand, six hundred fifty-six".