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5336001648 = 2432192102647
BaseRepresentation
bin1001111100000110…
…01110110001110000
3111202212121222011200
410332003032301300
541412004023043
62241253011200
7246142160055
oct47603166160
914685558150
105336001648
11229904101a
12104b023b00
13670653333
1438896702c
152136c77d3
hex13e0cec70

5336001648 has 90 divisors (see below), whose sum is σ = 15760881864. Its totient is φ = 1685036736.

The previous prime is 5336001641. The next prime is 5336001673. The reversal of 5336001648 is 8461006335.

5336001648 is a `hidden beast` number, since 5 + 3 + 3 + 6 + 0 + 0 + 1 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5336001641) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 661 + ... + 103307.

Almost surely, 25336001648 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 5336001648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880440932).

5336001648 is an abundant number, since it is smaller than the sum of its proper divisors (10424880216).

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

5336001648 is a wasteful number, since it uses less digits than its factorization.

5336001648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102699 (or 102671 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5336001648 is about 73047.9407512628. The cubic root of 5336001648 is about 1747.4522543397.

The spelling of 5336001648 in words is "five billion, three hundred thirty-six million, one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 2166 2736 2888 3249 4332 5776 6498 8664 12996 17328 25992 51984 102647 205294 307941 410588 615882 821176 923823 1231764 1642352 1847646 1950293 2463528 3695292 3900586 4927056 5850879 7390584 7801172 11701758 14781168 15602344 17552637 23403516 31204688 35105274 37055567 46807032 70210548 74111134 93614064 111166701 140421096 148222268 222333402 280842192 296444536 333500103 444666804 592889072 667000206 889333608 1334000412 1778667216 2668000824 5336001648