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42626644464 = 24323371043543
BaseRepresentation
bin100111101100101111…
…101111100111110000
311002000201112220022210
4213230233233213300
51144244410110324
631325444532120
73036220333245
oct475457574760
9132021486283
1042626644464
11170946a1998
1283176b1040
1340342c4061
1420c53875cc
1511973cbd29
hex9ecbef9f0

42626644464 has 80 divisors (see below), whose sum is σ = 118012303872. Its totient is φ = 13223764224.

The previous prime is 42626644421. The next prime is 42626644469. The reversal of 42626644464 is 46444662624.

It is a super-3 number, since 3×426266444643 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42626644469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480924 + ... + 562619.

Almost surely, 242626644464 is an apocalyptic number.

It is an amenable number.

42626644464 is an abundant number, since it is smaller than the sum of its proper divisors (75385659408).

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

42626644464 is a wasteful number, since it uses less digits than its factorization.

42626644464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043614 (or 1043608 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 42626644464 in words is "forty-two billion, six hundred twenty-six million, six hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 111 138 148 184 222 276 296 368 444 552 592 851 888 1104 1702 1776 2553 3404 5106 6808 10212 13616 20424 40848 1043543 2087086 3130629 4174172 6261258 8348344 12522516 16696688 24001489 25045032 38611091 48002978 50090064 72004467 77222182 96005956 115833273 144008934 154444364 192011912 231666546 288017868 308888728 384023824 463333092 576035736 617777456 888055093 926666184 1152071472 1776110186 1853332368 2664165279 3552220372 5328330558 7104440744 10656661116 14208881488 21313322232 42626644464