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426232232624 = 241117212765983
BaseRepresentation
bin1100011001111010110…
…10111011101010110000
31111202011212010212012002
412030331122323222300
523440410422420444
6523450335553132
742536301125222
oct6147532735260
91452155125162
10426232232624
11154844a8aaa0
126a73438b7a8
1331269243293
14168b606a412
15b149871d4e
hex633d6bbab0

426232232624 has 120 divisors (see below), whose sum is σ = 964561502208. Its totient is φ = 180906808320.

The previous prime is 426232232593. The next prime is 426232232653.

426232232624 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4262322326242 (a number of 24 digits) contains 22 as substring.

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, 6426737 + ... + 6492719.

Almost surely, 2426232232624 is an apocalyptic number.

426232232624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426232232624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482280751104).

426232232624 is an abundant number, since it is smaller than the sum of its proper divisors (538329269584).

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

426232232624 is a wasteful number, since it uses less digits than its factorization.

426232232624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66163 (or 66140 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 426232 and 232624, that added together give a palindrome (658856).

The spelling of 426232232624 in words is "four hundred twenty-six billion, two hundred thirty-two million, two hundred thirty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 127 136 176 187 254 272 289 374 508 578 748 1016 1156 1397 1496 2032 2159 2312 2794 2992 3179 4318 4624 5588 6358 8636 11176 12716 17272 22352 23749 25432 34544 36703 47498 50864 65983 73406 94996 131966 146812 189992 263932 293624 379984 403733 527864 587248 725813 807466 1055728 1121711 1451626 1614932 2243422 2903252 3229864 4486844 5806504 6459728 8379841 8973688 11613008 12338821 16759682 17947376 19069087 24677642 33519364 38138174 49355284 67038728 76276348 92178251 98710568 134077456 142457297 152552696 184356502 197421136 209759957 284914594 305105392 368713004 419519914 569829188 737426008 839039828 1139658376 1474852016 1567030267 1678079656 2279316752 2421774049 3134060534 3356159312 4843548098 6268121068 9687096196 12536242136 19374192392 25072484272 26639514539 38748384784 53279029078 106558058156 213116116312 426232232624