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426064589496 = 2332721331417309
BaseRepresentation
bin1100011001100110110…
…11011011001010111000
31111201202011200201001100
412030303123123022320
523440040013330441
6523421550451400
742532164153600
oct6146333331270
91451664621040
10426064589496
11154769398257
126a6a8203b60
13312405a7970
141689baabc00
15b139ca9cb6
hex63336db2b8

426064589496 has 576 divisors, whose sum is σ = 1528812230400. Its totient is φ = 106077081600.

The previous prime is 426064589477. The next prime is 426064589519. The reversal of 426064589496 is 694985460624.

426064589496 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 6 + 4 + 589 + 49 + 6 = 666.

426064589496 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58289490 + ... + 58296798.

It is an arithmetic number, because the mean of its divisors is an integer number (2654187900).

Almost surely, 2426064589496 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 426064589496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764406115200).

426064589496 is an abundant number, since it is smaller than the sum of its proper divisors (1102747640904).

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

426064589496 is a wasteful number, since it uses less digits than its factorization.

426064589496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7420 (or 7406 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 426064589496 in words is "four hundred twenty-six billion, sixty-four million, five hundred eighty-nine thousand, four hundred ninety-six".