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14862638484 = 22341737233313
BaseRepresentation
bin11011101011110000…
…11101110110010100
31102100210200021010000
431311320131312110
5220414313412414
610454445531300
71034211225351
oct156570356624
942323607100
1014862638484
116337632301
122a69573b30
13152b253955
14a0dca9628
155bec2eb09
hex375e1dd94

14862638484 has 240 divisors, whose sum is σ = 42568173648. Its totient is φ = 4502863872.

The previous prime is 14862638443. The next prime is 14862638503. The reversal of 14862638484 is 48483626841.

It is a happy number.

14862638484 is a `hidden beast` number, since 1 + 4 + 8 + 626 + 3 + 8 + 4 + 8 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 274830084 + 14587808400 = 16578^2 + 120780^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 14862638484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47484312 + ... + 47484624.

Almost surely, 214862638484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14862638484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21284086824).

14862638484 is an abundant number, since it is smaller than the sum of its proper divisors (27705535164).

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

14862638484 is a wasteful number, since it uses less digits than its factorization.

14862638484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 605 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 14862638484 in words is "fourteen billion, eight hundred sixty-two million, six hundred thirty-eight thousand, four hundred eighty-four".