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957919138724 = 22372174930449
BaseRepresentation
bin11011111000010000110…
…11100001001110100100
310101120120000212011221102
431330020123201032210
5111143304244414344
62012021215335232
7126131062222202
oct15741033411644
93346500764842
10957919138724
1133a284420a99
12135799221518
136c440099822
1434513772072
1519db7247e4e
hexdf086e13a4

957919138724 has 18 divisors (see below), whose sum is σ = 1722890002050. Its totient is φ = 466014713472.

The previous prime is 957919138723. The next prime is 957919138733. The reversal of 957919138724 is 427831919759.

It can be written as a sum of positive squares in 3 ways, for example, as 439781185600 + 518137953124 = 663160^2 + 719818^2 .

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (957919138721) 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 5 ways as a sum of consecutive naturals, for example, 87459749 + ... + 87470700.

It is an arithmetic number, because the mean of its divisors is an integer number (95716111225).

Almost surely, 2957919138724 is an apocalyptic number.

It is an amenable number.

957919138724 is a deficient number, since it is larger than the sum of its proper divisors (764970863326).

957919138724 is a wasteful number, since it uses less digits than its factorization.

957919138724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174930527 (or 174930488 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 65.

The spelling of 957919138724 in words is "nine hundred fifty-seven billion, nine hundred nineteen million, one hundred thirty-eight thousand, seven hundred twenty-four".

Divisors: 1 2 4 37 74 148 1369 2738 5476 174930449 349860898 699721796 6472426613 12944853226 25889706452 239479784681 478959569362 957919138724