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257350427880 = 233571323566889
BaseRepresentation
bin1110111110101101000…
…1111110010011101000
3220121021012020021120220
43233223101332103220
513204023202143010
6314120344450040
724410245354440
oct3575321762350
9817235207526
10257350427880
119a161675537
1241a62179920
131b363b6a9c0
14c654b0b120
156a632a3970
hex3beb47e4e8

257350427880 has 128 divisors (see below), whose sum is σ = 950217004800. Its totient is φ = 54298109952.

The previous prime is 257350427861. The next prime is 257350427909. The reversal of 257350427880 is 88724053752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11772525 + ... + 11794364.

It is an arithmetic number, because the mean of its divisors is an integer number (7423570350).

Almost surely, 2257350427880 is an apocalyptic number.

257350427880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257350427880 is an abundant number, since it is smaller than the sum of its proper divisors (692866576920).

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

257350427880 is a wasteful number, since it uses less digits than its factorization.

257350427880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23566923 (or 23566919 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 257350427880 in words is "two hundred fifty-seven billion, three hundred fifty million, four hundred twenty-seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 23566889 47133778 70700667 94267556 117834445 141401334 164968223 188535112 235668890 282802668 306369557 329936446 353503335 471337780 494904669 565605336 612739114 659872892 707006670 824841115 919108671 942675560 989809338 1225478228 1319745784 1414013340 1531847785 1649682230 1838217342 1979618676 2144586899 2450956456 2474523345 2828026680 3063695570 3299364460 3676434684 3959237352 4289173798 4595543355 4949046690 6127391140 6433760697 6598728920 7352869368 8578347596 9191086710 9898093380 10722934495 12254782280 12867521394 17156695192 18382173420 19796186760 21445868990 25735042788 32168803485 36764346840 42891737980 51470085576 64337606970 85783475960 128675213940 257350427880