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5813430688 = 251323226417
BaseRepresentation
bin1010110101000000…
…11110100110100000
3120000010222212200201
411122200132212200
543401214240223
62400505554544
7264030226342
oct53240364640
916003885621
105813430688
11251359157a
121162aa5a54
13718534a20
143d2125292
15240582ead
hex15a81e9a0

5813430688 has 72 divisors (see below), whose sum is σ = 12885273828. Its totient is φ = 2566367232.

The previous prime is 5813430677. The next prime is 5813430719. The reversal of 5813430688 is 8860343185.

It can be written as a sum of positive squares in 2 ways, for example, as 5005279504 + 808151184 = 70748^2 + 28428^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206856 + ... + 233272.

Almost surely, 25813430688 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 5813430688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442636914).

5813430688 is an abundant number, since it is smaller than the sum of its proper divisors (7071843140).

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

5813430688 is a wasteful number, since it uses less digits than its factorization.

5813430688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26486 (or 26455 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The square root of 5813430688 is about 76245.8568579303. The cubic root of 5813430688 is about 1798.0875457403.

The spelling of 5813430688 in words is "five billion, eight hundred thirteen million, four hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 529 598 736 1058 1196 2116 2392 4232 4784 6877 8464 9568 13754 16928 26417 27508 52834 55016 105668 110032 211336 220064 343421 422672 607591 686842 845344 1215182 1373684 2430364 2747368 4860728 5494736 7898683 9721456 10989472 13974593 15797366 19442912 27949186 31594732 55898372 63189464 111796744 126378928 181669709 223593488 252757856 363339418 447186976 726678836 1453357672 2906715344 5813430688