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12767142323 = 132999733967
BaseRepresentation
bin10111110001111101…
…10010000110110011
31012221202122000210002
423320332302012303
5202121342023243
65510512100215
7631244630165
oct137076620663
935852560702
1012767142323
11546179aaa1
12258383466b
131286081ab0
14891872935
154eaca6eb8
hex2f8fb21b3

12767142323 has 16 divisors (see below), whose sum is σ = 14238026880. Its totient is φ = 11366925696.

The previous prime is 12767142319. The next prime is 12767142329. The reversal of 12767142323 is 32324176721.

It is a cyclic number.

It is not a de Polignac number, because 12767142323 - 22 = 12767142319 is a prime.

It is a super-3 number, since 3×127671423233 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12767142329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358886 + ... + 392852.

It is an arithmetic number, because the mean of its divisors is an integer number (889876680).

Almost surely, 212767142323 is an apocalyptic number.

12767142323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12767142323 is a deficient number, since it is larger than the sum of its proper divisors (1470884557).

12767142323 is a wasteful number, since it uses less digits than its factorization.

12767142323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35006.

The product of its digits is 84672, while the sum is 38.

The spelling of 12767142323 in words is "twelve billion, seven hundred sixty-seven million, one hundred forty-two thousand, three hundred twenty-three".

Divisors: 1 13 29 377 997 12961 28913 33967 375869 441571 985043 12805559 33865099 440246287 982087871 12767142323