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426232262232624 = 24337351383683003
BaseRepresentation
bin110000011101001111110111…
…0100101010000101000110000
32001220011101222012122002022210
41200322133232211100220300
5421331342133112420444
64110304221553532120
7155531156541613611
oct14072375645205060
92056141865562283
10426232262232624
111138a10a61a6151
123b97a802274040
13153aa6b7156403
147737a7441bc08
15344242c90b7b9
hex183a7ee950a30

426232262232624 has 80 divisors (see below), whose sum is σ = 1130864344549632. Its totient is φ = 138236894648064.

The previous prime is 426232262232619. The next prime is 426232262232677.

It is a happy number.

426232262232624 is nontrivially palindromic in base 10.

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 an unprimeable number.

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, 623714707 + ... + 624397709.

Almost surely, 2426232262232624 is an apocalyptic number.

It is an amenable number.

426232262232624 is an abundant number, since it is smaller than the sum of its proper divisors (704632082317008).

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

426232262232624 is a wasteful number, since it uses less digits than its factorization.

426232262232624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034434 (or 1034428 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 48.

The spelling of 426232262232624 in words is "four hundred twenty-six trillion, two hundred thirty-two billion, two hundred sixty-two million, two hundred thirty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 351383 683003 702766 1054149 1366006 1405532 2049009 2108298 2732012 2811064 4098018 4216596 5464024 5622128 8196036 8433192 10928048 13001171 16392072 16866384 25271111 26002342 32784144 39003513 50542222 52004684 75813333 78007026 101084444 104009368 151626666 156014052 202168888 208018736 303253332 312028104 404337776 606506664 624056208 1213013328 239995643149 479991286298 719986929447 959982572596 1439973858894 1919965145192 2879947717788 3839930290384 5759895435576 8879838796513 11519790871152 17759677593026 26639516389539 35519355186052 53279032779078 71038710372104 106558065558156 142077420744208 213116131116312 426232262232624