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75090930336 = 2533127684337
BaseRepresentation
bin100010111101111000…
…1001010101010100000
321011211012211111102000
41011323301022222200
52212241234232321
654255111124000
75265552243102
oct1057361125240
9234735744360
1075090930336
1129933966414
1212677973600
137109092776
1438c4bc7572
151e47529826
hex117bc4aaa0

75090930336 has 96 divisors (see below), whose sum is σ = 220740065280. Its totient is φ = 24833184768.

The previous prime is 75090930323. The next prime is 75090930359. The reversal of 75090930336 is 63303909057.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 75090930291 and 75090930300.

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, 232441 + ... + 451896.

It is an arithmetic number, because the mean of its divisors is an integer number (2299375680).

Almost surely, 275090930336 is an apocalyptic number.

It is an amenable number.

75090930336 is an abundant number, since it is smaller than the sum of its proper divisors (145649134944).

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

75090930336 is a wasteful number, since it uses less digits than its factorization.

75090930336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684483 (or 684469 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 45.

The spelling of 75090930336 in words is "seventy-five billion, ninety million, nine hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 127 144 216 254 288 381 432 508 762 864 1016 1143 1524 2032 2286 3048 3429 4064 4572 6096 6858 9144 12192 13716 18288 27432 36576 54864 109728 684337 1368674 2053011 2737348 4106022 5474696 6159033 8212044 10949392 12318066 16424088 18477099 21898784 24636132 32848176 36954198 49272264 65696352 73908396 86910799 98544528 147816792 173821598 197089056 260732397 295633584 347643196 521464794 591267168 695286392 782197191 1042929588 1390572784 1564394382 2085859176 2346591573 2781145568 3128788764 4171718352 4693183146 6257577528 8343436704 9386366292 12515155056 18772732584 25030310112 37545465168 75090930336