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12687745400 = 2352112524287
BaseRepresentation
bin10111101000011111…
…11010000101111000
31012202020020020200022
423310033322011320
5201441030323100
65454554230012
7626262025241
oct136417720570
935666206608
1012687745400
1154209a0a00
122561125308
1312727a3075
148850c5cc8
154e3d21e85
hex2f43fa178

12687745400 has 72 divisors (see below), whose sum is σ = 32424591360. Its totient is φ = 4613716800.

The previous prime is 12687745397. The next prime is 12687745471. The reversal of 12687745400 is 454778621.

It is a super-4 number, since 4×126877454004 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 237944 + ... + 286343.

Almost surely, 212687745400 is an apocalyptic number.

12687745400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12687745400 is an abundant number, since it is smaller than the sum of its proper divisors (19736845960).

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

12687745400 is a wasteful number, since it uses less digits than its factorization.

12687745400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524325 (or 524305 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 44.

The spelling of 12687745400 in words is "twelve billion, six hundred eighty-seven million, seven hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 24200 524287 1048574 2097148 2621435 4194296 5242870 5767157 10485740 11534314 13107175 20971480 23068628 26214350 28835785 46137256 52428700 57671570 63438727 104857400 115343140 126877454 144178925 230686280 253754908 288357850 317193635 507509816 576715700 634387270 1153431400 1268774540 1585968175 2537549080 3171936350 6343872700 12687745400