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12296737152 = 273271937901
BaseRepresentation
bin10110111001111000…
…10101000110000000
31011201222110222012100
423130330111012000
5200140431042102
65352105430400
7613503353430
oct133474250600
934658428170
1012296737152
115240207697
12247219b400
13120c78c43b
148491c22c0
154be837a1c
hex2dcf15180

12296737152 has 192 divisors, whose sum is σ = 40654841760. Its totient is φ = 3494707200.

The previous prime is 12296737147. The next prime is 12296737169. The reversal of 12296737152 is 25173769221.

It is a happy number.

12296737152 is a `hidden beast` number, since 1 + 229 + 6 + 7 + 371 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×122967371522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12296737098 and 12296737107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1552402 + ... + 1560302.

Almost surely, 212296737152 is an apocalyptic number.

12296737152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12296737152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327420880).

12296737152 is an abundant number, since it is smaller than the sum of its proper divisors (28358104608).

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

12296737152 is a wasteful number, since it uses less digits than its factorization.

12296737152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8121 (or 8106 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 12296737152 in words is "twelve billion, two hundred ninety-six million, seven hundred thirty-seven thousand, one hundred fifty-two".