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425430734976 = 27341329313511
BaseRepresentation
bin1100011000011011010…
…01011101100010000000
31111200002222222120010000
412030031221131202000
523432240232004401
6523235025040000
742510366403332
oct6141551354200
91450088876100
10425430734976
11154473616a45
126a54ba86000
133116c187810
141683b831452
15b0ee301186
hex630da5d880

425430734976 has 640 divisors, whose sum is σ = 1456395494400. Its totient is φ = 122276044800.

The previous prime is 425430734959. The next prime is 425430734987. The reversal of 425430734976 is 679437034524.

It is a happy number.

425430734976 is a `hidden beast` number, since 4 + 2 + 54 + 30 + 73 + 497 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 121169061 + ... + 121172571.

It is an arithmetic number, because the mean of its divisors is an integer number (2275617960).

Almost surely, 2425430734976 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 425430734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728197747200).

425430734976 is an abundant number, since it is smaller than the sum of its proper divisors (1030964759424).

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

425430734976 is a wasteful number, since it uses less digits than its factorization.

425430734976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 425430734976 in words is "four hundred twenty-five billion, four hundred thirty million, seven hundred thirty-four thousand, nine hundred seventy-six".