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5642993664 = 21432721171
BaseRepresentation
bin1010100000101100…
…10100000000000000
3112120021021210001100
411100112110000000
543024101244124
62331540534400
7256560440400
oct52026240000
915507253040
105642993664
112436360730
1211159b1400
136bc12b809
143b763a800
152306181c9
hex150594000

5642993664 has 540 divisors, whose sum is σ = 20978219808. Its totient is φ = 1445068800.

The previous prime is 5642993663. The next prime is 5642993677. The reversal of 5642993664 is 4663992465.

It is a self number, because there is not a number n which added to its sum of digits gives 5642993664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5642993663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79478749 + ... + 79478819.

Almost surely, 25642993664 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 5642993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10489109904).

5642993664 is an abundant number, since it is smaller than the sum of its proper divisors (15335226144).

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

5642993664 is a wasteful number, since it uses less digits than its factorization.

5642993664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 94 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The square root of 5642993664 is about 75119.8619807039. The cubic root of 5642993664 is about 1780.3409757930.

The spelling of 5642993664 in words is "five billion, six hundred forty-two million, nine hundred ninety-three thousand, six hundred sixty-four".