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31869747441 = 327285012
BaseRepresentation
bin11101101011100101…
…011100000011110001
310001021001112220200100
4131223211130003301
51010232123404231
622350223143013
72205522245400
oct355345340361
9101231486610
1031869747441
1112574706a54
126215144a69
13300b865a2c
1417848b9637
15c67d5d1e6
hex76b95c0f1

31869747441 has 27 divisors (see below), whose sum is σ = 53556147723. Its totient is φ = 18209142000.

The previous prime is 31869747421. The next prime is 31869747509. The reversal of 31869747441 is 14474796813.

It is a happy number.

The square root of 31869747441 is 178521.

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

31869747441 is a `hidden beast` number, since 3 + 1 + 86 + 97 + 474 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2649263841 + 29220483600 = 51471^2 + 170940^2 .

It is not a de Polignac number, because 31869747441 - 219 = 31869223153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31869747421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3744691 + ... + 3753191.

Almost surely, 231869747441 is an apocalyptic number.

31869747441 is the 178521-st square number.

31869747441 is the 89261-st centered octagonal number.

It is an amenable number.

31869747441 is a deficient number, since it is larger than the sum of its proper divisors (21686400282).

31869747441 is an frugal number, since it uses more digits than its factorization.

31869747441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17022 (or 8511 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 31869747441 in words is "thirty-one billion, eight hundred sixty-nine million, seven hundred forty-seven thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 8501 25503 59507 76509 178521 416549 535563 1249647 3748941 72267001 216801003 505869007 650403009 1517607021 3541083049 4552821063 10623249147 31869747441