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258217893820 = 225293101343499
BaseRepresentation
bin1111000001111011111…
…1000101111110111100
3220200111122112010011001
43300132333011332330
513212312240100240
6314342413340044
724440610611605
oct3603677057674
9820448463131
10258217893820
119a5672a6537
1242064797624
131b4717b2b63
14c6d7dd8dac
156ab450589a
hex3c1efc5fbc

258217893820 has 48 divisors (see below), whose sum is σ = 544657932000. Its totient is φ = 102830663936.

The previous prime is 258217893767. The next prime is 258217893833. The reversal of 258217893820 is 28398712852.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

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, 5914431 + ... + 5957929.

It is an arithmetic number, because the mean of its divisors is an integer number (11347040250).

Almost surely, 2258217893820 is an apocalyptic number.

258217893820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258217893820 is an abundant number, since it is smaller than the sum of its proper divisors (286440038180).

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

258217893820 is a wasteful number, since it uses less digits than its factorization.

258217893820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44814 (or 44812 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 258217893820 in words is "two hundred fifty-eight billion, two hundred seventeen million, eight hundred ninety-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 293 586 1013 1172 1465 2026 2930 4052 5065 5860 10130 20260 43499 86998 173996 217495 296809 434990 593618 869980 1187236 1484045 2968090 5936180 12745207 25490414 44064487 50980828 63726035 88128974 127452070 176257948 220322435 254904140 440644870 881289740 12910894691 25821789382 51643578764 64554473455 129108946910 258217893820