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12275737272 = 233418944039
BaseRepresentation
bin10110110111011000…
…01110001010111000
31011200111222001210000
423123230032022320
5200120042043042
65350035353000
7613130021331
oct133354161270
934614861700
1012275737272
11522a374117
122467152760
131208318b86
148464b7288
154bca8a74c
hex2dbb0e2b8

12275737272 has 40 divisors (see below), whose sum is σ = 34383432600. Its totient is φ = 4091912208.

The previous prime is 12275737249. The next prime is 12275737273. The reversal of 12275737272 is 27273757221.

12275737272 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 573 + 7 + 2 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12275737273) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9471372 + ... + 9472667.

It is an arithmetic number, because the mean of its divisors is an integer number (859585815).

Almost surely, 212275737272 is an apocalyptic number.

12275737272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12275737272 is an abundant number, since it is smaller than the sum of its proper divisors (22107695328).

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

12275737272 is a wasteful number, since it uses less digits than its factorization.

12275737272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18944057 (or 18944044 counting only the distinct ones).

The product of its digits is 576240, while the sum is 45.

The spelling of 12275737272 in words is "twelve billion, two hundred seventy-five million, seven hundred thirty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 18944039 37888078 56832117 75776156 113664234 151552312 170496351 227328468 340992702 454656936 511489053 681985404 1022978106 1363970808 1534467159 2045956212 3068934318 4091912424 6137868636 12275737272