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258328694100 = 223522293760243
BaseRepresentation
bin1111000010010110010…
…1110000110101010100
3220200210101000100120010
43300211211300311110
513213024121202400
6314401412240220
724443424445521
oct3604545606524
9820711010503
10258328694100
119a6138a4414
1242095910070
131b48b738559
14c7089dc148
156abe0e0450
hex3c25970d54

258328694100 has 72 divisors (see below), whose sum is σ = 750695112160. Its totient is φ = 68586814080.

The previous prime is 258328694053. The next prime is 258328694131. The reversal of 258328694100 is 1496823852.

It is a super-2 number, since 2×2583286941002 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 258328694100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1811422 + ... + 1948821.

Almost surely, 2258328694100 is an apocalyptic number.

258328694100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258328694100 is an abundant number, since it is smaller than the sum of its proper divisors (492366418060).

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

258328694100 is a wasteful number, since it uses less digits than its factorization.

258328694100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760489 (or 3760482 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 258328694100 in words is "two hundred fifty-eight billion, three hundred twenty-eight million, six hundred ninety-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 229 300 458 687 916 1145 1374 2290 2748 3435 4580 5725 6870 11450 13740 17175 22900 34350 68700 3760243 7520486 11280729 15040972 18801215 22561458 37602430 45122916 56403645 75204860 94006075 112807290 188012150 225614580 282018225 376024300 564036450 861095647 1128072900 1722191294 2583286941 3444382588 4305478235 5166573882 8610956470 10333147764 12916434705 17221912940 21527391175 25832869410 43054782350 51665738820 64582173525 86109564700 129164347050 258328694100