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258604382220 = 22356736404269
BaseRepresentation
bin1111000011011000000…
…1011011100000001100
3220201111120202202120020
43300312001123200030
513214110210212340
6314445021222140
724453312660132
oct3606601334014
9821446682506
10258604382220
119a745482a38
1242152101950
131b5038a3412
14c733483752
156ad83ea9d0
hex3c3605b80c

258604382220 has 48 divisors (see below), whose sum is σ = 725168300640. Its totient is φ = 68858689536.

The previous prime is 258604382219. The next prime is 258604382227. The reversal of 258604382220 is 22283406852.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (258604382227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3161755 + ... + 3242514.

It is an arithmetic number, because the mean of its divisors is an integer number (15107672930).

Almost surely, 2258604382220 is an apocalyptic number.

258604382220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258604382220 is an abundant number, since it is smaller than the sum of its proper divisors (466563918420).

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

258604382220 is a wasteful number, since it uses less digits than its factorization.

258604382220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404954 (or 6404952 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 258604382220 in words is "two hundred fifty-eight billion, six hundred four million, three hundred eighty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 673 1346 2019 2692 3365 4038 6730 8076 10095 13460 20190 40380 6404269 12808538 19212807 25617076 32021345 38425614 64042690 76851228 96064035 128085380 192128070 384256140 4310073037 8620146074 12930219111 17240292148 21550365185 25860438222 43100730370 51720876444 64651095555 86201460740 129302191110 258604382220