Search a number
-
+
12936759642 = 23683106903
BaseRepresentation
bin11000000110001011…
…10100100101011010
31020101120210111000000
430003011310211122
5202443302302032
65535411353430
7635404433262
oct140305644532
936346714000
1012936759642
115539510aa4
1226105b2876
1312b225bb81
148aa1c67a2
1550ab0de7c
hex30317495a

12936759642 has 56 divisors (see below), whose sum is σ = 29445210144. Its totient is φ = 4260258504.

The previous prime is 12936759631. The next prime is 12936759673. The reversal of 12936759642 is 24695763921.

12936759642 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 6 + 7 + 596 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 67563 + ... + 174465.

It is an arithmetic number, because the mean of its divisors is an integer number (525807324).

Almost surely, 212936759642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12936759642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14722605072).

12936759642 is an abundant number, since it is smaller than the sum of its proper divisors (16508450502).

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

12936759642 is an equidigital number, since it uses as much as digits as its factorization.

12936759642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107006 (or 106991 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 12936759642 in words is "twelve billion, nine hundred thirty-six million, seven hundred fifty-nine thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 83 162 166 243 249 486 498 729 747 1458 1494 2241 4482 6723 13446 20169 40338 60507 106903 121014 213806 320709 641418 962127 1924254 2886381 5772762 8659143 8872949 17318286 17745898 25977429 26618847 51954858 53237694 77932287 79856541 155864574 159713082 239569623 479139246 718708869 1437417738 2156126607 4312253214 6468379821 12936759642