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130957669845 = 3254259683299
BaseRepresentation
bin111100111110110101…
…1110111010111010101
3110112000122221220200100
41321331223313113111
54121200130413340
6140054445204313
712314152553502
oct1717553672725
9415018856610
10130957669845
11505a2210712
1221469560699
13c470410692
1464a47584a9
153616e82830
hex1e7daf75d5

130957669845 has 24 divisors (see below), whose sum is σ = 227046924000. Its totient is φ = 69827589216.

The previous prime is 130957669837. The next prime is 130957669849. The reversal of 130957669845 is 548966759031.

130957669845 is a `hidden beast` number, since 13 + 0 + 9 + 576 + 6 + 9 + 8 + 45 = 666.

It is not a de Polignac number, because 130957669845 - 23 = 130957669837 is a prime.

It is a super-2 number, since 2×1309576698452 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130957669849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149995 + ... + 533304.

It is an arithmetic number, because the mean of its divisors is an integer number (9460288500).

Almost surely, 2130957669845 is an apocalyptic number.

130957669845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130957669845 is a deficient number, since it is larger than the sum of its proper divisors (96089254155).

130957669845 is a wasteful number, since it uses less digits than its factorization.

130957669845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687569 (or 687566 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 130957669845 in words is "one hundred thirty billion, nine hundred fifty-seven million, six hundred sixty-nine thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 45 4259 12777 21295 38331 63885 191655 683299 2049897 3416495 6149691 10249485 30748455 2910170441 8730511323 14550852205 26191533969 43652556615 130957669845