Search a number
-
+
466838025984 = 283211217137719
BaseRepresentation
bin1101100101100011011…
…01101111011100000000
31122121222202002212221200
412302301231233130000
530122041013312414
6554243515021200
745504452514351
oct6626155573400
91577882085850
10466838025984
1116aa91993600
127658713a800
133503a96c345
1418848c8bd28
15c22461d109
hex6cb1b6f700

466838025984 has 648 divisors, whose sum is σ = 1580156061120. Its totient is φ = 131988848640.

The previous prime is 466838025937. The next prime is 466838026003. The reversal of 466838025984 is 489520838664.

466838025984 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 38 + 0 + 2 + 598 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 649287577 + ... + 649288295.

It is an arithmetic number, because the mean of its divisors is an integer number (2438512440).

Almost surely, 2466838025984 is an apocalyptic number.

466838025984 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 466838025984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790078030560).

466838025984 is an abundant number, since it is smaller than the sum of its proper divisors (1113318035136).

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

466838025984 is a wasteful number, since it uses less digits than its factorization.

466838025984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 466838025984 in words is "four hundred sixty-six billion, eight hundred thirty-eight million, twenty-five thousand, nine hundred eighty-four".