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426633100088 = 231341569175843
BaseRepresentation
bin1100011010101010101…
…00000111101100111000
31111210012210110000222012
412031111110013230320
523442221033200323
6523554215545052
742552236342066
oct6152524075470
91453183400865
10426633100088
11154a30298718
126a82668b188
13313012c9670
14169133b9036
15b16eb57678
hex6355507b38

426633100088 has 64 divisors (see below), whose sum is σ = 884038125600. Its totient is φ = 191766251520.

The previous prime is 426633100081. The next prime is 426633100093. The reversal of 426633100088 is 880001336624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426633100081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2338295 + ... + 2514137.

Almost surely, 2426633100088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426633100088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442019062800).

426633100088 is an abundant number, since it is smaller than the sum of its proper divisors (457405025512).

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

426633100088 is a wasteful number, since it uses less digits than its factorization.

426633100088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176472 (or 176468 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 426633100088 in words is "four hundred twenty-six billion, six hundred thirty-three million, one hundred thousand, eighty-eight".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 569 1066 1138 2132 2276 4264 4552 7397 14794 23329 29588 46658 59176 93316 175843 186632 303277 351686 606554 703372 1213108 1406744 2285959 2426216 4571918 7209563 9143836 14419126 18287672 28838252 57676504 93724319 100054667 187448638 200109334 374897276 400218668 749794552 800437336 1300710671 2601421342 4102241347 5202842684 8204482694 10405685368 16408965388 32817930776 53329137511 106658275022 213316550044 426633100088