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56857729080 = 23354131137159
BaseRepresentation
bin110100111100111111…
…000001100000111000
312102202111211220101210
4310330333001200320
51412421034312310
642041534243120
74051662502665
oct647477014070
9172674756353
1056857729080
1122127784449
12b0296564a0
135491751a99
142a75414a6c
15172b959820
hexd3cfc1838

56857729080 has 128 divisors (see below), whose sum is σ = 175300070400. Its totient is φ = 14744294400.

The previous prime is 56857729043. The next prime is 56857729091. The reversal of 56857729080 is 8092775865.

It is a happy number.

56857729080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×568577290802 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56857729080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1511541 + ... + 1548699.

It is an arithmetic number, because the mean of its divisors is an integer number (1369531800).

Almost surely, 256857729080 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 56857729080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87650035200).

56857729080 is an abundant number, since it is smaller than the sum of its proper divisors (118442341320).

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

56857729080 is a wasteful number, since it uses less digits than its factorization.

56857729080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37525 (or 37521 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 56857729080 in words is "fifty-six billion, eight hundred fifty-seven million, seven hundred twenty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 311 328 410 492 615 622 820 933 984 1230 1244 1555 1640 1866 2460 2488 3110 3732 4665 4920 6220 7464 9330 12440 12751 18660 25502 37159 37320 38253 51004 63755 74318 76506 102008 111477 127510 148636 153012 185795 191265 222954 255020 297272 306024 371590 382530 445908 510040 557385 743180 765060 891816 1114770 1486360 1523519 1530120 2229540 3047038 4459080 4570557 6094076 7617595 9141114 11556449 12188152 15235190 18282228 22852785 23112898 30470380 34669347 36564456 45705570 46225796 57782245 60940760 69338694 91411140 92451592 115564490 138677388 173346735 182822280 231128980 277354776 346693470 462257960 473814409 693386940 947628818 1386773880 1421443227 1895257636 2369072045 2842886454 3790515272 4738144090 5685772908 7107216135 9476288180 11371545816 14214432270 18952576360 28428864540 56857729080