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10244008957 = 713412167401
BaseRepresentation
bin10011000101001011…
…10010101111111101
3222102220220120111011
421202211302233331
5131434431241312
64412300355221
7511566432220
oct114245625775
928386816434
1010244008957
114387526606
121b9a845b11
13c73412c80
146d271d5b7
153ee50bda7
hex262972bfd

10244008957 has 48 divisors (see below), whose sum is σ = 13032827136. Its totient is φ = 7840512000.

The previous prime is 10244008933. The next prime is 10244008961. The reversal of 10244008957 is 75980044201.

It is not a de Polignac number, because 10244008957 - 27 = 10244008829 is a prime.

It is a super-2 number, since 2×102440089572 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10244008927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25545957 + ... + 25546357.

It is an arithmetic number, because the mean of its divisors is an integer number (271517232).

Almost surely, 210244008957 is an apocalyptic number.

It is an amenable number.

10244008957 is a deficient number, since it is larger than the sum of its proper divisors (2788818179).

10244008957 is a wasteful number, since it uses less digits than its factorization.

10244008957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 10244008957 in words is "ten billion, two hundred forty-four million, eight thousand, nine hundred fifty-seven".

Divisors: 1 7 13 41 91 167 287 401 533 1169 1681 2171 2807 3731 5213 6847 11767 15197 16441 21853 36491 47929 66967 89011 115087 152971 213733 280727 468769 623077 674081 870571 1496131 1965089 2745647 3649451 4718567 6093997 8763053 19219529 25546157 35693411 61341371 112571527 249853877 788000689 1463429851 10244008957