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426532235624 = 231115741973681
BaseRepresentation
bin1100011010011110100…
…11010110100101101000
31111202221202122120221022
412031033103112211220
523442014223014444
6523540214032012
742546603116435
oct6151723264550
91452852576838
10426532235624
11154989366760
126a7b8948608
13312b6442551
1416903c40b8c
15b165d819ee
hex634f4d6968

426532235624 has 64 divisors (see below), whose sum is σ = 880116753600. Its totient is φ = 192181017600.

The previous prime is 426532235587. The next prime is 426532235641.

It is a happy number.

426532235624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5752064 + ... + 5825744.

It is an arithmetic number, because the mean of its divisors is an integer number (13751824275).

Almost surely, 2426532235624 is an apocalyptic number.

426532235624 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 426532235624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440058376800).

426532235624 is an abundant number, since it is smaller than the sum of its proper divisors (453584517976).

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

426532235624 is a wasteful number, since it uses less digits than its factorization.

426532235624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74274 (or 74270 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

The spelling of 426532235624 in words is "four hundred twenty-six billion, five hundred thirty-two million, two hundred thirty-five thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 157 314 419 628 838 1256 1676 1727 3352 3454 4609 6908 9218 13816 18436 36872 65783 73681 131566 147362 263132 294724 526264 589448 723613 810491 1447226 1620982 2894452 3241964 5788904 6483928 11567917 23135834 30872339 46271668 61744678 92543336 123489356 127247087 246978712 254494174 339595729 508988348 679191458 1017976696 1358382916 2716765832 4846957223 9693914446 19387828892 38775657784 53316529453 106633058906 213266117812 426532235624