Search a number
-
+
258474480663 = 37311991995187
BaseRepresentation
bin1111000010111001000…
…1111001010000010111
3220201011112100002010110
43300232101321100113
513213323431340123
6314424101054103
724450144556320
oct3605621712027
9821145302113
10258474480663
119a689118a83
12421166b7333
131b4b29c06a9
14c72010b447
156acbcdb493
hex3c2e479417

258474480663 has 32 divisors (see below), whose sum is σ = 408614502400. Its totient is φ = 142216858080.

The previous prime is 258474480647. The next prime is 258474480673. The reversal of 258474480663 is 366084474852.

258474480663 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 258474480663 - 24 = 258474480647 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258474480673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 868045 + ... + 1127142.

It is an arithmetic number, because the mean of its divisors is an integer number (12769203200).

Almost surely, 2258474480663 is an apocalyptic number.

258474480663 is a deficient number, since it is larger than the sum of its proper divisors (150140021737).

258474480663 is a wasteful number, since it uses less digits than its factorization.

258474480663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995427.

The product of its (nonzero) digits is 30965760, while the sum is 57.

The spelling of 258474480663 in words is "two hundred fifty-eight billion, four hundred seventy-four million, four hundred eighty thousand, six hundred sixty-three".

Divisors: 1 3 7 21 31 93 199 217 597 651 1393 4179 6169 18507 43183 129549 1995187 5985561 13966309 41898927 61850797 185552391 397042213 432955579 1191126639 1298866737 2779295491 8337886473 12308308603 36924925809 86158160221 258474480663