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258423815720 = 23573129772329
BaseRepresentation
bin1111000010101101000…
…0100111111000101000
3220201001000000000220002
43300223100213320220
513213222444100340
6314415051122132
724445661122160
oct3605320477050
9821030000802
10258423815720
119a662563724
1242101743348
131b4a5361735
14c7174bd5a0
156ac762e715
hex3c2b427e28

258423815720 has 64 divisors (see below), whose sum is σ = 685954483200. Its totient is φ = 85744304640.

The previous prime is 258423815717. The next prime is 258423815801. The reversal of 258423815720 is 27518324852.

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, 14877485 + ... + 14894844.

It is an arithmetic number, because the mean of its divisors is an integer number (10718038800).

Almost surely, 2258423815720 is an apocalyptic number.

258423815720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258423815720 is an abundant number, since it is smaller than the sum of its proper divisors (427530667480).

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

258423815720 is a wasteful number, since it uses less digits than its factorization.

258423815720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29772378 (or 29772374 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 47.

The spelling of 258423815720 in words is "two hundred fifty-eight billion, four hundred twenty-three million, eight hundred fifteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 29772329 59544658 119089316 148861645 208406303 238178632 297723290 416812606 595446580 833625212 922942199 1042031515 1190893160 1667250424 1845884398 2084063030 3691768796 4168126060 4614710995 6460595393 7383537592 8336252120 9229421990 12921190786 18458843980 25842381572 32302976965 36917687960 51684763144 64605953930 129211907860 258423815720