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56874312040 = 23571329353327
BaseRepresentation
bin110100111101111110…
…010010000101101000
312102210200001101221111
4310331332102011220
51412434310441130
642043325520104
74052253450550
oct647576220550
9172720041844
1056874312040
1122136080477
12b033113034
135495009aa0
142a776d0160
15172d13302a
hexd3df92168

56874312040 has 128 divisors (see below), whose sum is σ = 158038594560. Its totient is φ = 17938013184.

The previous prime is 56874312029. The next prime is 56874312041. The reversal of 56874312040 is 4021347865.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 56874311984 and 56874312002.

It is not an unprimeable number, because it can be changed into a prime (56874312041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1039857 + ... + 1093183.

It is an arithmetic number, because the mean of its divisors is an integer number (1234676520).

Almost surely, 256874312040 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 56874312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79019297280).

56874312040 is an abundant number, since it is smaller than the sum of its proper divisors (101164282520).

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

56874312040 is a wasteful number, since it uses less digits than its factorization.

56874312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53651 (or 53647 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 56874312040 in words is "fifty-six billion, eight hundred seventy-four million, three hundred twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 293 364 455 520 586 728 910 1172 1465 1820 2051 2344 2930 3640 3809 4102 5860 7618 8204 10255 11720 15236 16408 19045 20510 26663 30472 38090 41020 53326 53327 76180 82040 106652 106654 133315 152360 213304 213308 266630 266635 373289 426616 533260 533270 693251 746578 1066520 1066540 1386502 1493156 1866445 2133080 2773004 2986312 3466255 3732890 4852757 5546008 6932510 7465780 9705514 13865020 14931560 15624811 19411028 24263785 27730040 31249622 38822056 48527570 62499244 78124055 97055140 109373677 124998488 156248110 194110280 203122543 218747354 312496220 406245086 437494708 546868385 624992440 812490172 874989416 1015612715 1093736770 1421857801 1624980344 2031225430 2187473540 2843715602 4062450860 4374947080 5687431204 7109289005 8124901720 11374862408 14218578010 28437156020 56874312040