Search a number
-
+
12689392968 = 23327202712421
BaseRepresentation
bin10111101000101100…
…01100010101001000
31012202100022221201100
423310112030111020
5201441441033333
65455053421400
7626312026530
oct136426142510
935670287640
1012689392968
11542191682a
12256179a860
131272c2bc65
148853d44c0
154e404a213
hex2f458c548

12689392968 has 96 divisors (see below), whose sum is σ = 39299232960. Its totient is φ = 3623460480.

The previous prime is 12689392931. The next prime is 12689392987. The reversal of 12689392968 is 86929398621.

It is a super-2 number, since 2×126893929682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 1015398 + ... + 1027818.

It is an arithmetic number, because the mean of its divisors is an integer number (409367010).

Almost surely, 212689392968 is an apocalyptic number.

12689392968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12689392968 is an abundant number, since it is smaller than the sum of its proper divisors (26609839992).

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

12689392968 is a wasteful number, since it uses less digits than its factorization.

12689392968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14467 (or 14460 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 12689392968 in words is "twelve billion, six hundred eighty-nine million, three hundred ninety-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2027 4054 6081 8108 12162 12421 14189 16216 18243 24324 24842 28378 36486 37263 42567 48648 49684 56756 72972 74526 85134 86947 99368 111789 113512 127701 145944 149052 170268 173894 223578 255402 260841 298104 340536 347788 447156 510804 521682 695576 782523 894312 1021608 1043364 1565046 2086728 3130092 6260184 25177367 50354734 75532101 100709468 151064202 176241569 201418936 226596303 302128404 352483138 453192606 528724707 604256808 704966276 906385212 1057449414 1409932552 1586174121 1812770424 2114898828 3172348242 4229797656 6344696484 12689392968