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258394030568220 = 223519702893224707
BaseRepresentation
bin111010110000001000001100…
…011001110111001100011100
31020212220020011021012112121110
4322300020030121313030130
5232332011433311140340
62313320325013302020
7105266231646444051
oct7260101431671434
91225806137175543
10258394030568220
1175372324a34578
1224b925b2034910
13b1245b628c091
1447b44a2d3b028
151ed164d462680
hexeb020c67731c

258394030568220 has 96 divisors (see below), whose sum is σ = 761593477075200. Its totient is φ = 65277542974464.

The previous prime is 258394030568173. The next prime is 258394030568273. The reversal of 258394030568220 is 22865030493852.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78517107 + ... + 81741813.

It is an arithmetic number, because the mean of its divisors is an integer number (7933265386200).

Almost surely, 2258394030568220 is an apocalyptic number.

258394030568220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258394030568220 is an abundant number, since it is smaller than the sum of its proper divisors (503199446506980).

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

258394030568220 is a wasteful number, since it uses less digits than its factorization.

258394030568220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295027 (or 3295025 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 258394030568220 in words is "two hundred fifty-eight trillion, three hundred ninety-four billion, thirty million, five hundred sixty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 70289 140578 210867 281156 351445 421734 702890 843468 1054335 1335491 1405780 2108670 2670982 3224707 4006473 4217340 5341964 6449414 6677455 8012946 9674121 12898828 13354910 16025892 16123535 19348242 20032365 26709820 32247070 38696484 40064730 48370605 61269433 64494140 80129460 96741210 122538866 183808299 193482420 245077732 306347165 367616598 612694330 735233196 919041495 1225388660 1838082990 3676165980 226661430323 453322860646 679984290969 906645721292 1133307151615 1359968581938 2266614303230 2719937163876 3399921454845 4306567176137 4533228606460 6799842909690 8613134352274 12919701528411 13599685819380 17226268704548 21532835880685 25839403056822 43065671761370 51678806113644 64598507642055 86131343522740 129197015284110 258394030568220