Search a number
-
+
425427520896 = 2734731731227
BaseRepresentation
bin1100011000011010111…
…01001100110110000000
31111200002202221021020000
412030031131030312000
523432233421132041
6523234432120000
742510330156000
oct6141535146600
91450082837200
10425427520896
11154471821184
126a54a996000
133116b6008b1
141683b236000
15b0eddb8bb6
hex630d74cd80

425427520896 has 1280 divisors, whose sum is σ = 1620850176000. Its totient is φ = 110222622720.

The previous prime is 425427520883. The next prime is 425427520937. The reversal of 425427520896 is 698025724524.

425427520896 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 27 + 520 + 8 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1874129935 + ... + 1874130161.

It is an arithmetic number, because the mean of its divisors is an integer number (1266289200).

Almost surely, 2425427520896 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 425427520896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810425088000).

425427520896 is an abundant number, since it is smaller than the sum of its proper divisors (1195422655104).

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

425427520896 is a wasteful number, since it uses less digits than its factorization.

425427520896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 425427520896 in words is "four hundred twenty-five billion, four hundred twenty-seven million, five hundred twenty thousand, eight hundred ninety-six".