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12146533020 = 22325592311393
BaseRepresentation
bin10110100111111110…
…10110001010011100
31011100111211210212100
423103333112022130
5144334003024040
65325142205100
7610000553466
oct132377261234
934314753770
1012146533020
115173446046
12242ba23790
1311b761b65b
14833283136
154b1567b30
hex2d3fd629c

12146533020 has 72 divisors (see below), whose sum is σ = 36853938576. Its totient is φ = 3238244352.

The previous prime is 12146533001. The next prime is 12146533027. The reversal of 12146533020 is 2033564121.

12146533020 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 653 + 3 + 0 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12146533027) 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, 1060444 + ... + 1071836.

It is an arithmetic number, because the mean of its divisors is an integer number (511860258).

Almost surely, 212146533020 is an apocalyptic number.

12146533020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12146533020 is an abundant number, since it is smaller than the sum of its proper divisors (24707405556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12146533020 is a wasteful number, since it uses less digits than its factorization.

12146533020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17331 (or 17326 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 12146533020 in words is "twelve billion, one hundred forty-six million, five hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5923 11393 11846 17769 22786 23692 29615 34179 35538 45572 53307 56965 59230 68358 71076 88845 102537 106614 113930 118460 136716 170895 177690 205074 213228 227860 266535 341790 355380 410148 512685 533070 683580 1025370 1066140 2050740 67480739 134961478 202442217 269922956 337403695 404884434 607326651 674807390 809768868 1012211085 1214653302 1349614780 2024422170 2429306604 3036633255 4048844340 6073266510 12146533020