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14937058080 = 2532572211693
BaseRepresentation
bin11011110100101000…
…10110101100100000
31102112222201011121100
431322110112230200
5221042341324310
610510104554400
71036103620200
oct157224265440
942488634540
1014937058080
1163756418aa
122a8a482a00
1315407ac009
14a19b1c400
155c652eec0
hex37a516b20

14937058080 has 216 divisors, whose sum is σ = 59295066012. Its totient is φ = 3414168576.

The previous prime is 14937058079. The next prime is 14937058099. The reversal of 14937058080 is 8085073941.

14937058080 is a `hidden beast` number, since 1 + 493 + 7 + 0 + 5 + 80 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14449001616 + 488056464 = 120204^2 + 22092^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35287 + ... + 176406.

Almost surely, 214937058080 is an apocalyptic number.

14937058080 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 14937058080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29647533006).

14937058080 is an abundant number, since it is smaller than the sum of its proper divisors (44358007932).

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

14937058080 is a wasteful number, since it uses less digits than its factorization.

14937058080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211728 (or 211710 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 14937058080 in words is "fourteen billion, nine hundred thirty-seven million, fifty-eight thousand, eighty".