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14972948496 = 24361121032
BaseRepresentation
bin11011111000111010…
…10001000000010000
31102122111020121000000
431330131101000100
5221131033322441
610513430130000
71040020651032
oct157435210020
942574217000
1014972948496
116393925900
122a9a4b0900
13154806714c
14a207c1c52
155c976e2b6
hex37c751010

14972948496 has 315 divisors, whose sum is σ = 48277481007. Its totient is φ = 4493206080.

The previous prime is 14972948491. The next prime is 14972948521. The reversal of 14972948496 is 69484927941.

The square root of 14972948496 is 122364.

It is a perfect power (a square), and thus also a powerful number.

14972948496 is a `hidden beast` number, since 1 + 49 + 7 + 29 + 484 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (14972948491) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 145368381 + ... + 145368483.

Almost surely, 214972948496 is an apocalyptic number.

14972948496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14972948496 is the 122364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14972948496

14972948496 is an abundant number, since it is smaller than the sum of its proper divisors (33304532511).

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

14972948496 is an equidigital number, since it uses as much as digits as its factorization.

14972948496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 119 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 14972948496 in words is "fourteen billion, nine hundred seventy-two million, nine hundred forty-eight thousand, four hundred ninety-six".