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258941317660 = 225179121359629
BaseRepresentation
bin1111000100101000011…
…0101111001000011100
3220202101001202212002121
43301022012233020130
513220302434131120
6314542255032324
724464543612164
oct3611206571034
9822331685077
10258941317660
119a8a8694583
1242226b0b6a4
131b558633bbc
14c76610d5a4
156b07ca35aa
hex3c4a1af21c

258941317660 has 48 divisors (see below), whose sum is σ = 547274599200. Its totient is φ = 102911249664.

The previous prime is 258941317643. The next prime is 258941317681. The reversal of 258941317660 is 66713149852.

It is a junction number, because it is equal to n+sod(n) for n = 258941317598 and 258941317607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4312726 + ... + 4372354.

It is an arithmetic number, because the mean of its divisors is an integer number (11401554150).

It is a 1-persistent number, because it is pandigital, but 2⋅258941317660 = 517882635320 is not.

Almost surely, 2258941317660 is an apocalyptic number.

258941317660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258941317660 is an abundant number, since it is smaller than the sum of its proper divisors (288333281540).

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

258941317660 is a wasteful number, since it uses less digits than its factorization.

258941317660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61030 (or 61028 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 258941317660 in words is "two hundred fifty-eight billion, nine hundred forty-one million, three hundred seventeen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 179 358 716 895 1213 1790 2426 3580 4852 6065 12130 24260 59629 119258 217127 238516 298145 434254 596290 868508 1085635 1192580 2171270 4342540 10673591 21347182 42694364 53367955 72329977 106735910 144659954 213471820 289319908 361649885 723299770 1446599540 12947065883 25894131766 51788263532 64735329415 129470658830 258941317660