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31371848641 = 72253032
BaseRepresentation
bin11101001101111010…
…000110101111000001
32222222100200000221001
4131031322012233001
51003222143124031
622224555332001
72160265212400
oct351572065701
988870600831
1031371848641
1112339655241
1260b6451001
132c5c668163
14173870d637
15c392ac861
hex74de86bc1

31371848641 has 9 divisors (see below), whose sum is σ = 36495225441. Its totient is φ = 26889093252.

The previous prime is 31371848621. The next prime is 31371848701. The reversal of 31371848641 is 14684817313.

The square root of 31371848641 is 177121.

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

It is not a de Polignac number, because 31371848641 - 29 = 31371848129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31371848591 and 31371848600.

It is not an unprimeable number, because it can be changed into a prime (31371848611) 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 8 ways as a sum of consecutive naturals, for example, 1227196 + ... + 1252498.

It is an arithmetic number, because the mean of its divisors is an integer number (4055025049).

Almost surely, 231371848641 is an apocalyptic number.

31371848641 is the 177121-st square number.

31371848641 is the 88561-st centered octagonal number.

It is an amenable number.

31371848641 is a deficient number, since it is larger than the sum of its proper divisors (5123376800).

31371848641 is an frugal number, since it uses more digits than its factorization.

31371848641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50620 (or 25310 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The spelling of 31371848641 in words is "thirty-one billion, three hundred seventy-one million, eight hundred forty-eight thousand, six hundred forty-one".

Divisors: 1 7 49 25303 177121 1239847 640241809 4481692663 31371848641