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2639344396968 = 23352359029889
BaseRepresentation
bin100110011010000101001…
…011110110101010101000
3100100022121110010100200000
4212122011023312222220
5321220334131200333
65340255330143000
7361454262132546
oct46320513665250
910308543110600
102639344396968
11928381117134
12367633121a60
13161b734aaa36
1491a60202d96
15489c6ece713
hex266852f6aa8

2639344396968 has 96 divisors (see below), whose sum is σ = 7735276785600. Its totient is φ = 841530083328.

The previous prime is 2639344396961. The next prime is 2639344396979. The reversal of 2639344396968 is 8696934439362.

It is a happy number.

2639344396968 is a `hidden beast` number, since 2 + 6 + 3 + 9 + 3 + 443 + 96 + 96 + 8 = 666.

It is a super-2 number, since 2×26393443969682 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 2639344396896 and 2639344396905.

It is not an unprimeable number, because it can be changed into a prime (2639344396961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29470233 + ... + 29559656.

It is an arithmetic number, because the mean of its divisors is an integer number (80575799850).

Almost surely, 22639344396968 is an apocalyptic number.

It is an amenable number.

2639344396968 is an abundant number, since it is smaller than the sum of its proper divisors (5095932388632).

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

2639344396968 is a wasteful number, since it uses less digits than its factorization.

2639344396968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59029933 (or 59029917 counting only the distinct ones).

The product of its digits is 1088391168, while the sum is 72.

The spelling of 2639344396968 in words is "two trillion, six hundred thirty-nine billion, three hundred forty-four million, three hundred ninety-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 276 324 414 486 552 621 648 828 972 1242 1656 1863 1944 2484 3726 4968 5589 7452 11178 14904 22356 44712 59029889 118059778 177089667 236119556 354179334 472239112 531269001 708358668 1062538002 1357687447 1416717336 1593807003 2125076004 2715374894 3187614006 4073062341 4250152008 4781421009 5430749788 6375228012 8146124682 9562842018 10861499576 12219187023 12750456024 14344263027 16292249364 19125684036 24438374046 28688526054 32584498728 36657561069 38251368072 48876748092 57377052108 73315122138 97753496184 109972683207 114754104216 146630244276 219945366414 293260488552 329918049621 439890732828 659836099242 879781465656 1319672198484 2639344396968