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5604566440 = 2351122756113
BaseRepresentation
bin1010011100000111…
…01110010110101000
3112110120222110210211
411032003232112220
542434232111230
62324045150504
7255613012564
oct51603562650
915416873724
105604566440
1124166a47a0
121104b5b434
136b4195b05
143b24b66a4
1522c07742a
hex14e0ee5a8

5604566440 has 64 divisors (see below), whose sum is σ = 13817511360. Its totient is φ = 2029009920.

The previous prime is 5604566431. The next prime is 5604566467. The reversal of 5604566440 is 446654065.

It is a super-2 number, since 2×56045664402 = 62822329960748547200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5604566393 and 5604566402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71824 + ... + 127936.

It is an arithmetic number, because the mean of its divisors is an integer number (215898615).

Almost surely, 25604566440 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 5604566440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6908755680).

5604566440 is an abundant number, since it is smaller than the sum of its proper divisors (8212944920).

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

5604566440 is a wasteful number, since it uses less digits than its factorization.

5604566440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56362 (or 56358 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The square root of 5604566440 is about 74863.6523287503. The cubic root of 5604566440 is about 1776.2905581008.

The spelling of 5604566440 in words is "five billion, six hundred four million, five hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 227 440 454 908 1135 1816 2270 2497 4540 4994 9080 9988 12485 19976 24970 49940 56113 99880 112226 224452 280565 448904 561130 617243 1122260 1234486 2244520 2468972 3086215 4937944 6172430 12344860 12737651 24689720 25475302 50950604 63688255 101901208 127376510 140114161 254753020 280228322 509506040 560456644 700570805 1120913288 1401141610 2802283220 5604566440