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90839366240 = 2557731111049
BaseRepresentation
bin101010010011001110…
…0101011101001100000
322200110202021221010212
41110212130223221200
52442014334204430
6105421522513252
76364040605310
oct1244634535140
9280422257125
1090839366240
11355854aa3a7
1215731b05828
1387489a93ac
14457a593440
152569dccb95
hex152672ba60

90839366240 has 96 divisors (see below), whose sum is σ = 248626324800. Its totient is φ = 30718255104.

The previous prime is 90839366239. The next prime is 90839366273. The reversal of 90839366240 is 4266393809.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 473765 + ... + 637284.

It is an arithmetic number, because the mean of its divisors is an integer number (2589857550).

Almost surely, 290839366240 is an apocalyptic number.

It is an amenable number.

90839366240 is an abundant number, since it is smaller than the sum of its proper divisors (157786958560).

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

90839366240 is a wasteful number, since it uses less digits than its factorization.

90839366240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111144 (or 1111136 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 50.

The spelling of 90839366240 in words is "ninety billion, eight hundred thirty-nine million, three hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 73 80 112 140 146 160 224 280 292 365 511 560 584 730 1022 1120 1168 1460 2044 2336 2555 2920 4088 5110 5840 8176 10220 11680 16352 20440 40880 81760 1111049 2222098 4444196 5555245 7777343 8888392 11110490 15554686 17776784 22220980 31109372 35553568 38886715 44441960 62218744 77773430 81106577 88883920 124437488 155546860 162213154 177767840 248874976 311093720 324426308 405532885 567746039 622187440 648852616 811065770 1135492078 1244374880 1297705232 1622131540 2270984156 2595410464 2838730195 3244263080 4541968312 5677460390 6488526160 9083936624 11354920780 12977052320 18167873248 22709841560 45419683120 90839366240