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5605804256 = 251346129231
BaseRepresentation
bin1010011100010000…
…11100100011100000
3112110200022100202212
411032020130203200
542440041214011
62324131501252
7255626356433
oct51610344340
915420270685
105605804256
11241736a788
121105457828
136b450a350
143b271981a
1522c21e08b
hex14e21c8e0

5605804256 has 48 divisors (see below), whose sum is σ = 11911572288. Its totient is φ = 2581593600.

The previous prime is 5605804241. The next prime is 5605804297. The reversal of 5605804256 is 6524085065.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177161 + ... + 206391.

It is an arithmetic number, because the mean of its divisors is an integer number (248157756).

Almost surely, 25605804256 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 5605804256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5955786144).

5605804256 is an abundant number, since it is smaller than the sum of its proper divisors (6305768032).

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

5605804256 is a wasteful number, since it uses less digits than its factorization.

5605804256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29715 (or 29707 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The square root of 5605804256 is about 74871.9190083973. The cubic root of 5605804256 is about 1776.4213180830.

The spelling of 5605804256 in words is "five billion, six hundred five million, eight hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 461 922 1844 3688 5993 7376 11986 14752 23972 29231 47944 58462 95888 116924 191776 233848 380003 467696 760006 935392 1520012 3040024 6080048 12160096 13475491 26950982 53901964 107803928 175181383 215607856 350362766 431215712 700725532 1401451064 2802902128 5605804256