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14993791488 = 2932132291093
BaseRepresentation
bin11011111011011001…
…10001101000000000
31102200221110112012200
431331230301220000
5221201402311423
610515452553200
71040363060544
oct157554615000
942627415180
1014993791488
1163a4671515
122aa5482800
13154c484190
14a23489a24
155cb4d9d43
hex37db31a00

14993791488 has 240 divisors, whose sum is σ = 46848121320. Its totient is φ = 4589125632.

The previous prime is 14993791441. The next prime is 14993791489. The reversal of 14993791488 is 88419739941.

14993791488 is a `hidden beast` number, since 149 + 9 + 3 + 7 + 9 + 1 + 488 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14993512704 + 278784 = 122448^2 + 528^2 .

It is not an unprimeable number, because it can be changed into a prime (14993791489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13717470 + ... + 13718562.

Almost surely, 214993791488 is an apocalyptic number.

14993791488 is a gapful number since it is divisible by the number (18) 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 14993791488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23424060660).

14993791488 is an abundant number, since it is smaller than the sum of its proper divisors (31854329832).

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

14993791488 is a wasteful number, since it uses less digits than its factorization.

14993791488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1340 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 14993791488 in words is "fourteen billion, nine hundred ninety-three million, seven hundred ninety-one thousand, four hundred eighty-eight".