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57718275040 = 25531312109
BaseRepresentation
bin110101110000010001…
…101111101111100000
312111222111010011112101
4311300101233233200
51421201334300130
642303154540144
74112212146226
oct656021575740
9174874104471
1057718275040
1122529509358
12b229897654
13559ab1328a
142b17820b16
15177c2911ca
hexd7046fbe0

57718275040 has 96 divisors (see below), whose sum is σ = 140916222720. Its totient is φ = 22340712960.

The previous prime is 57718274987. The next prime is 57718275047. The reversal of 57718275040 is 4057281775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57718275047) 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 15 ways as a sum of consecutive naturals, for example, 4760506 + ... + 4772614.

It is an arithmetic number, because the mean of its divisors is an integer number (1467877320).

Almost surely, 257718275040 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 57718275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70458111360).

57718275040 is an abundant number, since it is smaller than the sum of its proper divisors (83197947680).

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

57718275040 is an equidigital number, since it uses as much as digits as its factorization.

57718275040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12217 (or 12147 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 46.

The spelling of 57718275040 in words is "fifty-seven billion, seven hundred eighteen million, two hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 961 992 1240 1922 2480 3844 4805 4960 7688 9610 12109 15376 19220 24218 29791 30752 38440 48436 59582 60545 76880 96872 119164 121090 148955 153760 193744 238328 242180 297910 375379 387488 476656 484360 595820 750758 953312 968720 1191640 1501516 1876895 1937440 2383280 3003032 3753790 4766560 6006064 7507580 11636749 12012128 15015160 23273498 30030320 46546996 58183745 60060640 93093992 116367490 186187984 232734980 360739219 372375968 465469960 721478438 930939920 1442956876 1803696095 1861879840 2885913752 3607392190 5771827504 7214784380 11543655008 14429568760 28859137520 57718275040