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5021564769 = 32132232792
BaseRepresentation
bin1001010110100111…
…01111111101100001
3110221221221220212100
410223103233331201
540241010033034
62150141321013
7235303411344
oct45323577541
913857856770
105021564769
1121475a6a31
12b81866169
1362046c300
14358cb645b
151e5cb6099
hex12b4eff61

5021564769 has 81 divisors (see below), whose sum is σ = 8315825427. Its totient is φ = 2918421792.

The previous prime is 5021564767. The next prime is 5021564783. The reversal of 5021564769 is 9674651205.

The square root of 5021564769 is 70863.

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

5021564769 is a `hidden beast` number, since 5 + 0 + 21 + 564 + 7 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 742835025 + 4278729744 = 27255^2 + 65412^2 .

It is not a de Polignac number, because 5021564769 - 21 = 5021564767 is a prime.

It is a super-2 number, since 2×50215647692 = 50432225458524046722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5021564761) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 63564072 + ... + 63564150.

Almost surely, 25021564769 is an apocalyptic number.

5021564769 is the 70863-rd square number.

5021564769 is the 35432-nd centered octagonal number.

It is an amenable number.

5021564769 is a deficient number, since it is larger than the sum of its proper divisors (3294260658).

5021564769 is a wasteful number, since it uses less digits than its factorization.

5021564769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The cubic root of 5021564769 is about 1712.4307699578.

The spelling of 5021564769 in words is "five billion, twenty-one million, five hundred sixty-four thousand, seven hundred sixty-nine".

Divisors: 1 3 9 13 23 39 69 79 117 169 207 237 299 507 529 711 897 1027 1521 1587 1817 2691 3081 3887 4761 5451 6241 6877 9243 11661 13351 16353 18723 20631 23621 34983 40053 41791 56169 61893 70863 81133 89401 120159 125373 143543 212589 243399 268203 307073 376119 430629 543283 730197 804609 921219 1054729 1291887 1629849 1866059 2763657 3164187 3301489 4889547 5598177 7062679 9492561 9904467 16794531 21188037 24258767 29713401 42919357 63564111 72776301 128758071 218328903 386274213 557951641 1673854923 5021564769