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90931485840 = 24351354753281
BaseRepresentation
bin101010010101111110…
…0000101110010010000
322200201011122002110220
41110223330011302100
52442211430021330
6105435013153040
76366236606466
oct1245374056220
9280634562426
1090931485840
11356224a91a8
121575892b780
138761ac1030
1445888d2836
152573027710
hex152bf05c90

90931485840 has 160 divisors (see below), whose sum is σ = 304131950976. Its totient is φ = 22341795840.

The previous prime is 90931485829. The next prime is 90931485859. The reversal of 90931485840 is 4858413909.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1680000 + ... + 1733280.

Almost surely, 290931485840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90931485840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152065975488).

90931485840 is an abundant number, since it is smaller than the sum of its proper divisors (213200465136).

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

90931485840 is a wasteful number, since it uses less digits than its factorization.

90931485840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53857 (or 53851 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 90931485840 in words is "ninety billion, nine hundred thirty-one million, four hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 547 624 780 1040 1094 1560 1641 2188 2735 3120 3282 4376 5470 6564 7111 8205 8752 10940 13128 14222 16410 21333 21880 26256 28444 32820 35555 42666 43760 53281 56888 65640 71110 85332 106562 106665 113776 131280 142220 159843 170664 213124 213330 266405 284440 319686 341328 426248 426660 532810 568880 639372 692653 799215 852496 853320 1065620 1278744 1385306 1598430 1706640 2077959 2131240 2557488 2770612 3196860 3463265 4155918 4262480 5541224 6393720 6926530 8311836 10389795 11082448 12787440 13853060 16623672 20779590 27706120 29144707 33247344 41559180 55412240 58289414 83118360 87434121 116578828 145723535 166236720 174868242 233157656 291447070 349736484 378881191 437170605 466315312 582894140 699472968 757762382 874341210 1136643573 1165788280 1398945936 1515524764 1748682420 1894405955 2273287146 2331576560 3031049528 3497364840 3788811910 4546574292 5683217865 6062099056 6994729680 7577623820 9093148584 11366435730 15155247640 18186297168 22732871460 30310495280 45465742920 90931485840