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12465775140 = 22357132283109
BaseRepresentation
bin10111001110000010…
…01010001000100100
31012011202112222201120
423213001022020210
5201012214301030
65420544453540
7620625224520
oct134701121044
935152488646
1012465775140
115317672405
1224ba91a2b0
1312387c5910
14863824d80
154ce5c8010
hex2e704a224

12465775140 has 96 divisors (see below), whose sum is σ = 42958997760. Its totient is φ = 2630140416.

The previous prime is 12465775111. The next prime is 12465775171. The reversal of 12465775140 is 4157756421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12465775092 and 12465775101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136095 + ... + 1147014.

It is an arithmetic number, because the mean of its divisors is an integer number (447489560).

Almost surely, 212465775140 is an apocalyptic number.

12465775140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12465775140 is an abundant number, since it is smaller than the sum of its proper divisors (30493222620).

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

12465775140 is a wasteful number, since it uses less digits than its factorization.

12465775140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283141 (or 2283139 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 12465775140 in words is "twelve billion, four hundred sixty-five million, seven hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 2283109 4566218 6849327 9132436 11415545 13698654 15981763 22831090 27397308 29680417 31963526 34246635 45662180 47945289 59360834 63927052 68493270 79908815 89041251 95890578 118721668 136986540 148402085 159817630 178082502 191781156 207762919 239726445 296804170 319635260 356165004 415525838 445206255 479452890 593608340 623288757 831051676 890412510 958905780 1038814595 1246577514 1780825020 2077629190 2493155028 3116443785 4155258380 6232887570 12465775140