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57813492720 = 2435331727763
BaseRepresentation
bin110101110101111100…
…111110001111110000
312112020010021201122010
4311311330332033300
51421400223231340
642320435442520
74114446402624
oct656574761760
9175203251563
1057813492720
1122578233855
12b255756440
1355b47710b9
142b26329184
1517857edb80
hexd75f3e3f0

57813492720 has 80 divisors (see below), whose sum is σ = 179763530112. Its totient is φ = 15370333440.

The previous prime is 57813492641. The next prime is 57813492731. The reversal of 57813492720 is 2729431875.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 57813492720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284442 + ... + 443321.

Almost surely, 257813492720 is an apocalyptic number.

It is an amenable number.

57813492720 is an abundant number, since it is smaller than the sum of its proper divisors (121950037392).

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

57813492720 is a wasteful number, since it uses less digits than its factorization.

57813492720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728110 (or 728104 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 57813492720 in words is "fifty-seven billion, eight hundred thirteen million, four hundred ninety-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 331 662 993 1324 1655 1986 2648 3310 3972 4965 5296 6620 7944 9930 13240 15888 19860 26480 39720 79440 727763 1455526 2183289 2911052 3638815 4366578 5822104 7277630 8733156 10916445 11644208 14555260 17466312 21832890 29110520 34932624 43665780 58221040 87331560 174663120 240889553 481779106 722668659 963558212 1204447765 1445337318 1927116424 2408895530 2890674636 3613343295 3854232848 4817791060 5781349272 7226686590 9635582120 11562698544 14453373180 19271164240 28906746360 57813492720