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5606864641 = 721925632
BaseRepresentation
bin1010011100011000…
…11111011100000001
3112110202022020100101
411032030133130001
542440324132031
62324210322401
7255641364100
oct51614373401
915422266311
105606864641
112417a24434
121105889401
136b47bbbb1
143b2914037
1522c37d361
hex14e31f701

5606864641 has 27 divisors (see below), whose sum is σ = 6895864161. Its totient is φ = 4544855784.

The previous prime is 5606864621. The next prime is 5606864663. The reversal of 5606864641 is 1464686065.

The square root of 5606864641 is 74879.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 5606864641 - 213 = 5606856449 is a prime.

It is a super-2 number, since 2×56068646412 = 62873862204992117762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5606864591 and 5606864600.

It is not an unprimeable number, because it can be changed into a prime (5606864621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9958626 + ... + 9959188.

Almost surely, 25606864641 is an apocalyptic number.

5606864641 is the 74879-th square number.

5606864641 is the 37440-th centered octagonal number.

It is an amenable number.

5606864641 is a deficient number, since it is larger than the sum of its proper divisors (1288999520).

5606864641 is an frugal number, since it uses more digits than its factorization.

5606864641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The cubic root of 5606864641 is about 1776.5333193633.

The spelling of 5606864641 in words is "five billion, six hundred six million, eight hundred sixty-four thousand, six hundred forty-one".

Divisors: 1 7 19 49 133 361 563 931 2527 3941 10697 17689 27587 74879 203243 316969 524153 1422701 2218783 6022411 9958907 15531481 42156877 114425809 295098139 800980663 5606864641