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12640103775 = 32521314093067
BaseRepresentation
bin10111100010110100…
…01010110101011111
31012121220120210122200
423301122022311133
5201341331310100
65450133142543
7625143052335
oct136132126537
935556523580
1012640103775
1153a7011062
12254918aa53
131265962260
1487ca43b55
154dea60e00
hex2f168ad5f

12640103775 has 72 divisors (see below), whose sum is σ = 24406614960. Its totient is φ = 6216376320.

The previous prime is 12640103771. The next prime is 12640103783. The reversal of 12640103775 is 57730104621.

It is a happy number.

12640103775 is a `hidden beast` number, since 1 + 2 + 640 + 1 + 0 + 3 + 7 + 7 + 5 = 666.

It is not a de Polignac number, because 12640103775 - 22 = 12640103771 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12640103771) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4119792 + ... + 4122858.

Almost surely, 212640103775 is an apocalyptic number.

12640103775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12640103775 is a deficient number, since it is larger than the sum of its proper divisors (11766511185).

12640103775 is a wasteful number, since it uses less digits than its factorization.

12640103775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 12640103775 in words is "twelve billion, six hundred forty million, one hundred three thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 1409 2925 3067 4227 7045 9201 12681 15335 18317 21135 27603 35225 39871 46005 54951 63405 76675 91585 105675 119613 138015 164853 199355 230025 274755 317025 358839 457925 598065 690075 824265 996775 1373775 1794195 2990325 4121325 4321403 8970975 12964209 21607015 38892627 56178239 64821045 108035075 168534717 194463135 280891195 324105225 505604151 842673585 972315675 1404455975 2528020755 4213367925 12640103775