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56917282013440 = 285192340348767
BaseRepresentation
bin11001111000100000101100…
…11000000100000100000000
321110112020110020122010220021
430330100112120010010000
524430013043143412230
6321015234405223224
714663065210411552
oct1474202630040400
9243466406563807
1056917282013440
1117154535958872
126472b4a701b14
13259b379aa3214
14100ab4db0d4d2
1568a838455c7a
hex33c416604100

56917282013440 has 72 divisors (see below), whose sum is σ = 143510186453760. Its totient is φ = 21568654227456.

The previous prime is 56917282013429. The next prime is 56917282013461. The reversal of 56917282013440 is 4431028271965.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1170150064 + ... + 1170198703.

It is an arithmetic number, because the mean of its divisors is an integer number (1993197034080).

It is a 1-persistent number, because it is pandigital, but 2⋅56917282013440 = 113834564026880 is not.

Almost surely, 256917282013440 is an apocalyptic number.

It is an amenable number.

56917282013440 is an abundant number, since it is smaller than the sum of its proper divisors (86592904440320).

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

56917282013440 is a wasteful number, since it uses less digits than its factorization.

56917282013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340348807 (or 2340348793 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 56917282013440 in words is "fifty-six trillion, nine hundred seventeen billion, two hundred eighty-two million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 2432 3040 4864 6080 12160 24320 2340348767 4680697534 9361395068 11701743835 18722790136 23403487670 37445580272 44466626573 46806975340 74891160544 88933253146 93613950680 149782321088 177866506292 187227901360 222333132865 299564642176 355733012584 374455802720 444666265730 599129284352 711466025168 748911605440 889332531460 1422932050336 1497823210880 1778665062920 2845864100672 2995646421760 3557330125840 5691728201344 7114660251680 11383456402688 14229320503360 28458641006720 56917282013440