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12007163025 = 32521113373183
BaseRepresentation
bin10110010111010111…
…01100010010010001
31010222210121002011200
423023223230102101
5144042313204100
65303243101413
7603356126124
oct131353542221
933883532150
1012007163025
115101804330
1223b1211869
1311947a1cc0
1481c9643bb
154a41d7e00
hex2cbaec491

12007163025 has 72 divisors (see below), whose sum is σ = 25266049536. Its totient is φ = 5373820800.

The previous prime is 12007162997. The next prime is 12007163033. The reversal of 12007163025 is 52036170021.

It is a happy number.

12007163025 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 7 + 1 + 630 + 25 = 666.

12007163025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12007163025 - 227 = 11872945297 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12007163025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 154417 + ... + 218766.

Almost surely, 212007163025 is an apocalyptic number.

12007163025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12007163025 is an abundant number, since it is smaller than the sum of its proper divisors (13258886511).

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

12007163025 is a wasteful number, since it uses less digits than its factorization.

12007163025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373223 (or 373215 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 12007163025 in words is "twelve billion, seven million, one hundred sixty-three thousand, twenty-five".

Divisors: 1 3 5 9 11 13 15 25 33 39 45 55 65 75 99 117 143 165 195 225 275 325 429 495 585 715 825 975 1287 2145 2475 2925 3575 6435 10725 32175 373183 1119549 1865915 3358647 4105013 4851379 5597745 9329575 12315039 14554137 16793235 20525065 24256895 27988725 36945117 43662411 53365169 61575195 72770685 83966175 102625325 121284475 160095507 184725585 218312055 266825845 307875975 363853425 480286521 800477535 923627925 1091560275 1334129225 2401432605 4002387675 12007163025