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5606656720 = 245759169693
BaseRepresentation
bin1010011100010111…
…01100101011010000
3112110201220200010121
411032023230223100
542440301003340
62324202040024
7255636536650
oct51613545320
915421820117
105606656720
1124178a21a5
1211057a9014
136b4748372
143b289c360
1522c33b94a
hex14e2ecad0

5606656720 has 80 divisors (see below), whose sum is σ = 15150280320. Its totient is φ = 1889690112.

The previous prime is 5606656687. The next prime is 5606656733. The reversal of 5606656720 is 276566065.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×56066567203 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

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, 51807 + ... + 117886.

It is an arithmetic number, because the mean of its divisors is an integer number (189378504).

Almost surely, 25606656720 is an apocalyptic number.

It is an amenable number.

5606656720 is an abundant number, since it is smaller than the sum of its proper divisors (9543623600).

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

5606656720 is a wasteful number, since it uses less digits than its factorization.

5606656720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169772 (or 169766 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The square root of 5606656720 is about 74877.6116072087. The cubic root of 5606656720 is about 1776.5113591904.

The spelling of 5606656720 in words is "five billion, six hundred six million, six hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 413 472 560 590 826 944 1180 1652 2065 2360 3304 4130 4720 6608 8260 16520 33040 169693 339386 678772 848465 1187851 1357544 1696930 2375702 2715088 3393860 4751404 5939255 6787720 9502808 10011887 11878510 13575440 19005616 20023774 23757020 40047548 47514040 50059435 70083209 80095096 95028080 100118870 140166418 160190192 200237740 280332836 350416045 400475480 560665672 700832090 800950960 1121331344 1401664180 2803328360 5606656720