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56765753730 = 23257257122543
BaseRepresentation
bin110100110111100000…
…001010100110000010
312102112002210001221100
4310313200022212002
51412224013104410
642024451035230
74046464642200
oct646740124602
9172462701840
1056765753730
112208a873a64
12b00289bb16
13547868a9ba
142a67112070
15172383c8c0
hexd3780a982

56765753730 has 144 divisors (see below), whose sum is σ = 171995750784. Its totient is φ = 12951731520.

The previous prime is 56765753719. The next prime is 56765753743. The reversal of 56765753730 is 3735756765.

56765753730 is a `hidden beast` number, since 5 + 6 + 7 + 6 + 575 + 37 + 30 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2506839 + ... + 2529381.

It is an arithmetic number, because the mean of its divisors is an integer number (1194414936).

Almost surely, 256765753730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56765753730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85997875392).

56765753730 is an abundant number, since it is smaller than the sum of its proper divisors (115229997054).

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

56765753730 is a wasteful number, since it uses less digits than its factorization.

56765753730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23141 (or 23131 counting only the distinct ones).

The product of its (nonzero) digits is 13891500, while the sum is 54.

The spelling of 56765753730 in words is "fifty-six billion, seven hundred sixty-five million, seven hundred fifty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 571 630 735 882 1142 1470 1713 2205 2855 3426 3997 4410 5139 5710 7994 8565 10278 11991 17130 19985 22543 23982 25695 27979 35973 39970 45086 51390 55958 59955 67629 71946 83937 112715 119910 135258 139895 157801 167874 179865 202887 225430 251811 279790 315602 338145 359730 405774 419685 473403 503622 676290 789005 839370 946806 1014435 1104607 1259055 1420209 1578010 2028870 2209214 2367015 2518110 2840418 3313821 4734030 5523035 6627642 7101045 9941463 11046070 12872053 14202090 16569105 19882926 25744106 33138210 38616159 49707315 64360265 77232318 90104371 99414630 115848477 128720530 180208742 193080795 231696954 270313113 386161590 450521855 540626226 579242385 630730597 810939339 901043710 1158484770 1261461194 1351565565 1621878678 1892191791 2703131130 3153652985 3784383582 4054696695 5676575373 6307305970 8109393390 9460958955 11353150746 18921917910 28382876865 56765753730