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31472427413 = 726137328229
BaseRepresentation
bin11101010011111001…
…110010000110010101
310000020100220222001202
4131103321302012111
51003423420134123
622242551202245
72162626135100
oct352371620625
9100210828052
1031472427413
1112390401599
126124076385
132c7745221b
141747c11737
15c43028a28
hex753e72195

31472427413 has 24 divisors (see below), whose sum is σ = 37312042680. Its totient is φ = 26462056320.

The previous prime is 31472427409. The next prime is 31472427433.

31472427413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1350048049 + 30122379364 = 36743^2 + 173558^2 .

It is not a de Polignac number, because 31472427413 - 22 = 31472427409 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31472427433) 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 23 ways as a sum of consecutive naturals, for example, 1100783 + ... + 1129011.

It is an arithmetic number, because the mean of its divisors is an integer number (1554668445).

Almost surely, 231472427413 is an apocalyptic number.

It is an amenable number.

31472427413 is a deficient number, since it is larger than the sum of its proper divisors (5839615267).

31472427413 is a wasteful number, since it uses less digits than its factorization.

31472427413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28677 (or 28670 counting only the distinct ones).

The product of its digits is 112896, while the sum is 38.

The spelling of 31472427413 in words is "thirty-one billion, four hundred seventy-two million, four hundred twenty-seven thousand, four hundred thirteen".

Divisors: 1 7 49 61 373 427 2611 2989 18277 22753 28229 159271 197603 1114897 1383221 1721969 10529417 12053783 73705919 84376481 515941433 642294437 4496061059 31472427413