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12701165437 = 1972814792
BaseRepresentation
bin10111101010000110…
…00110011101111101
31012210011111001111201
423311003012131331
5202002444243222
65500154015501
7626514060562
oct136503063575
935704431451
1012701165437
115428527644
122565717591
1312754c150c
14886bba869
154e50c3427
hex2f50c677d

12701165437 has 12 divisors (see below), whose sum is σ = 12837868956. Its totient is φ = 12565434560.

The previous prime is 12701165401. The next prime is 12701165441. The reversal of 12701165437 is 73456110721.

It can be written as a sum of positive squares in 2 ways, for example, as 11004219801 + 1696945636 = 104901^2 + 41194^2 .

It is a de Polignac number, because none of the positive numbers 2k-12701165437 is a prime.

It is a super-2 number, since 2×127011654372 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12701165396 and 12701165405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12701165237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26515764 + ... + 26516242.

It is an arithmetic number, because the mean of its divisors is an integer number (1069822413).

Almost surely, 212701165437 is an apocalyptic number.

It is an amenable number.

12701165437 is a deficient number, since it is larger than the sum of its proper divisors (136703519).

12701165437 is an frugal number, since it uses more digits than its factorization.

12701165437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 12701165437 in words is "twelve billion, seven hundred one million, one hundred sixty-five thousand, four hundred thirty-seven".

Divisors: 1 197 281 479 55357 94363 134599 229441 26516003 45199877 64472921 12701165437