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12132792701 = 536134910753
BaseRepresentation
bin10110100110010101…
…11011100101111101
31011022112222201200122
423103022323211331
5144321443331301
65323531504325
7606443015321
oct132312734575
934275881618
1012132792701
115166710807
1224272b80a5
1311b481a4a3
14831507981
154b025181b
hex2d32bb97d

12132792701 has 16 divisors (see below), whose sum is σ = 12601537200. Its totient is φ = 11674091520.

The previous prime is 12132792677. The next prime is 12132792709. The reversal of 12132792701 is 10729723121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 531348601 + 11601444100 = 23051^2 + 107710^2 .

It is a cyclic number.

It is not a de Polignac number, because 12132792701 - 222 = 12128598397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132792709) 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, 1122941 + ... + 1133693.

It is an arithmetic number, because the mean of its divisors is an integer number (787596075).

Almost surely, 212132792701 is an apocalyptic number.

It is an amenable number.

12132792701 is a deficient number, since it is larger than the sum of its proper divisors (468744499).

12132792701 is a wasteful number, since it uses less digits than its factorization.

12132792701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11216.

The product of its (nonzero) digits is 10584, while the sum is 35.

The spelling of 12132792701 in words is "twelve billion, one hundred thirty-two million, seven hundred ninety-two thousand, seven hundred one".

Divisors: 1 53 61 349 3233 10753 18497 21289 569909 655933 1128317 3752797 34764449 198898241 228920617 12132792701