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75345333960 = 233513431112061
BaseRepresentation
bin100011000101011101…
…1101000111011001000
321012110221112112120110
41012022323220323020
52213301401141320
654340235554320
75305061525451
oct1061273507310
9235427475513
1075345333960
1129a54527646
1212728bbb9a0
1371499b7660
14390a8cc128
151e5ea2d5e0
hex118aee8ec8

75345333960 has 128 divisors (see below), whose sum is σ = 243990351360. Its totient is φ = 18503347200.

The previous prime is 75345333937. The next prime is 75345333961. The reversal of 75345333960 is 6933354357.

It is not an unprimeable number, because it can be changed into a prime (75345333961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 616330 + ... + 728390.

It is an arithmetic number, because the mean of its divisors is an integer number (1906174620).

Almost surely, 275345333960 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 75345333960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121995175680).

75345333960 is an abundant number, since it is smaller than the sum of its proper divisors (168645017400).

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

75345333960 is a wasteful number, since it uses less digits than its factorization.

75345333960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112519 (or 112515 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 48.

The spelling of 75345333960 in words is "seventy-five billion, three hundred forty-five million, three hundred thirty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 431 520 780 862 1293 1560 1724 2155 2586 3448 4310 5172 5603 6465 8620 10344 11206 12930 16809 17240 22412 25860 28015 33618 44824 51720 56030 67236 84045 112060 112061 134472 168090 224120 224122 336180 336183 448244 560305 672360 672366 896488 1120610 1344732 1456793 1680915 2241220 2689464 2913586 3361830 4370379 4482440 5827172 6723660 7283965 8740758 11654344 13447320 14567930 17481516 21851895 29135860 34963032 43703790 48298291 58271720 87407580 96596582 144894873 174815160 193193164 241491455 289789746 386386328 482982910 579579492 627877783 724474365 965965820 1159158984 1255755566 1448948730 1883633349 1931931640 2511511132 2897897460 3139388915 3767266698 5023022264 5795794920 6278777830 7534533396 9418166745 12557555660 15069066792 18836333490 25115111320 37672666980 75345333960