Search a number
-
+
426817718624 = 25113139114527
BaseRepresentation
bin1100011011000000101…
…00011000100101100000
31111210200122211121222202
412031200110120211200
523443110313443444
6524024412552332
742556640514413
oct6154024304540
91453618747882
10426817718624
11155015525320
126a8784826a8
13313306297bb
141692db15b7a
15b180e7434e
hex6360518960

426817718624 has 48 divisors (see below), whose sum is σ = 946258661376. Its totient is φ = 187749724800.

The previous prime is 426817718597. The next prime is 426817718627.

426817718624 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 426817718624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426817718627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19546352 + ... + 19568175.

It is an arithmetic number, because the mean of its divisors is an integer number (19713722112).

Almost surely, 2426817718624 is an apocalyptic number.

426817718624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

426817718624 is an abundant number, since it is smaller than the sum of its proper divisors (519440942752).

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

426817718624 is a wasteful number, since it uses less digits than its factorization.

426817718624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39114579 (or 39114571 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 56.

The spelling of 426817718624 in words is "four hundred twenty-six billion, eight hundred seventeen million, seven hundred eighteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 10912 39114527 78229054 156458108 312916216 430259797 625832432 860519594 1212550337 1251664864 1721039188 2425100674 3442078376 4850201348 6884156752 9700402696 13338053707 13768313504 19400805392 26676107414 38801610784 53352214828 106704429656 213408859312 426817718624