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53865303921 = 321121325412
BaseRepresentation
bin110010001010100111…
…110100111101110001
312011000222001221210100
4302022213310331301
51340304004211141
640425000223013
73614555346252
oct621247647561
9164028057710
1053865303921
1120931618100
12a53346aa69
1351057c0300
14286dc20b29
151603db00b6
hexc8a9f4f71

53865303921 has 81 divisors (see below), whose sum is σ = 92777809761. Its totient is φ = 30078734400.

The previous prime is 53865303911. The next prime is 53865303923. The reversal of 53865303921 is 12930356835.

It is a happy number.

The square root of 53865303921 is 232089.

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

53865303921 is a `hidden beast` number, since 5 + 3 + 86 + 530 + 39 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12112103025 + 41753200896 = 110055^2 + 204336^2 .

It is not a de Polignac number, because 53865303921 - 229 = 53328433009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53865303923) 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, 99565911 + ... + 99566451.

Almost surely, 253865303921 is an apocalyptic number.

53865303921 is the 232089-th square number.

53865303921 is the 116045-th centered octagonal number.

It is an amenable number.

53865303921 is a deficient number, since it is larger than the sum of its proper divisors (38912505840).

53865303921 is a wasteful number, since it uses less digits than its factorization.

53865303921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 53865303921 in words is "fifty-three billion, eight hundred sixty-five million, three hundred three thousand, nine hundred twenty-one".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 169 363 429 507 541 1089 1287 1521 1573 1623 1859 4719 4869 5577 5951 7033 14157 16731 17853 20449 21099 53559 61347 63297 65461 77363 91429 184041 196383 232089 274287 292681 589149 696267 822861 850993 878043 1005719 2552979 2634129 3017157 3219491 3804853 7658937 9051471 9658473 11062909 11414559 28975419 33188727 34243677 35414401 41853383 49463089 99566181 106243203 125560149 148389267 318729609 376680447 445167801 460387213 544093979 1381161639 1632281937 4143484917 4896845811 5985033769 17955101307 53865303921