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90189878520 = 23357313463513
BaseRepresentation
bin101001111111110111…
…1000101010011111000
322121210111011112111010
41103333233011103320
52434202102103040
6105233242033520
76341663214150
oct1237757052370
9277714145433
1090189878520
1135281920695
12155904a88a0
138674274631
144518207760
15252cd86e80
hex14ffbc54f8

90189878520 has 128 divisors (see below), whose sum is σ = 319197450240. Its totient is φ = 19949829120.

The previous prime is 90189878503. The next prime is 90189878521. The reversal of 90189878520 is 2587898109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90189878521) by changing a digit.

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, 1705717 + ... + 1757796.

It is an arithmetic number, because the mean of its divisors is an integer number (2493730080).

Almost surely, 290189878520 is an apocalyptic number.

It is an amenable number.

90189878520 is an abundant number, since it is smaller than the sum of its proper divisors (229007571720).

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

90189878520 is a wasteful number, since it uses less digits than its factorization.

90189878520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463565 (or 3463561 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 57.

The spelling of 90189878520 in words is "ninety billion, one hundred eighty-nine million, eight hundred seventy-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 6510 8680 13020 26040 3463513 6927026 10390539 13854052 17317565 20781078 24244591 27708104 34635130 41562156 48489182 51952695 69270260 72733773 83124312 96978364 103905390 107368903 121222955 138540520 145467546 193956728 207810780 214737806 242445910 290935092 322106709 363668865 415621560 429475612 484891820 536844515 581870184 644213418 727337730 751582321 858951224 969783640 1073689030 1288426836 1454675460 1503164642 1610533545 2147378060 2254746963 2576853672 2909350920 3006329284 3221067090 3757911605 4294756120 4509493926 6012658568 6442134180 7515823210 9018987852 11273734815 12884268360 15031646420 18037975704 22547469630 30063292840 45094939260 90189878520