Search a number
-
+
425881520064 = 2636711213829
BaseRepresentation
bin1100011001010001000…
…01000100011111000000
31111201021102012211000000
412030220201010133000
523434201132120224
6523351451000000
742524512122510
oct6145041043700
91451242184000
10425881520064
11154685019500
126a656a39000
133121169a960
1416881655840
15b128b970c9
hex63288447c0

425881520064 has 1176 divisors, whose sum is σ = 1716214784480. Its totient is φ = 101986283520.

The previous prime is 425881520063. The next prime is 425881520069. The reversal of 425881520064 is 460025188524.

425881520064 is a `hidden beast` number, since 4 + 2 + 588 + 1 + 5 + 2 + 0 + 0 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425881520063) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 513728802 + ... + 513729630.

Almost surely, 2425881520064 is an apocalyptic number.

425881520064 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 425881520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858107392240).

425881520064 is an abundant number, since it is smaller than the sum of its proper divisors (1290333264416).

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

425881520064 is a wasteful number, since it uses less digits than its factorization.

425881520064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 425881520064 in words is "four hundred twenty-five billion, eight hundred eighty-one million, five hundred twenty thousand, sixty-four".