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426358714320 = 2432571161139907
BaseRepresentation
bin1100011010001001111…
…01011010111111010000
31111202111200010210110100
412031010331122333100
523441140312324240
6523511054532400
742542365163430
oct6150475327720
91452450123410
10426358714320
111548aa419620
126a76a807100
13312894c9516
14168c8b922c0
15b155a07e30
hex6344f5afd0

426358714320 has 960 divisors, whose sum is σ = 1829502904320. Its totient is φ = 86419353600.

The previous prime is 426358714297. The next prime is 426358714339. The reversal of 426358714320 is 23417853624.

426358714320 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 587 + 1 + 43 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 470075307 + ... + 470076213.

It is an arithmetic number, because the mean of its divisors is an integer number (1905732192).

Almost surely, 2426358714320 is an apocalyptic number.

426358714320 is a gapful number since it is divisible by the number (40) 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 426358714320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914751452160).

426358714320 is an abundant number, since it is smaller than the sum of its proper divisors (1403144190000).

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

426358714320 is a wasteful number, since it uses less digits than its factorization.

426358714320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 426358714320 in words is "four hundred twenty-six billion, three hundred fifty-eight million, seven hundred fourteen thousand, three hundred twenty".