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14936981472 = 253373179669
BaseRepresentation
bin11011110100101000…
…00011111111100000
31102112222120021112000
431322110003333200
5221042331401342
610510103204000
71036103150640
oct157224037740
942488507460
1014936981472
11637559a296
122a8a446600
13154078319a
14a19adc520
155c651744c
hex37a503fe0

14936981472 has 192 divisors, whose sum is σ = 51396710400. Its totient is φ = 4129989120.

The previous prime is 14936981387. The next prime is 14936981497. The reversal of 14936981472 is 27418963941.

14936981472 is a `hidden beast` number, since 1 + 4 + 93 + 6 + 9 + 81 + 472 = 666.

It is a super-2 number, since 2×149369814722 (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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147654 + ... + 227322.

It is an arithmetic number, because the mean of its divisors is an integer number (267691200).

Almost surely, 214936981472 is an apocalyptic number.

14936981472 is a gapful number since it is divisible by the number (12) 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 14936981472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25698355200).

14936981472 is an abundant number, since it is smaller than the sum of its proper divisors (36459728928).

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

14936981472 is a wasteful number, since it uses less digits than its factorization.

14936981472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79726 (or 79712 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 14936981472 in words is "fourteen billion, nine hundred thirty-six million, nine hundred eighty-one thousand, four hundred seventy-two".