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56801912337 = 3417352911689
BaseRepresentation
bin110100111001101010…
…000110011000010001
312102121121211010020000
4310321222012120101
51412312242143322
642032222040213
74050414200652
oct647152063021
9172547733200
1056801912337
11220a9220505
12b012a19069
13548300ac21
142a6bc45529
151726ad13ac
hexd39a86611

56801912337 has 40 divisors (see below), whose sum is σ = 89876694600. Its totient is φ = 35627268096.

The previous prime is 56801912311. The next prime is 56801912353. The reversal of 56801912337 is 73321910865.

56801912337 is a `hidden beast` number, since 56 + 80 + 191 + 2 + 337 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20777492736 + 36024419601 = 144144^2 + 189801^2 .

It is not a de Polignac number, because 56801912337 - 215 = 56801879569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56801912292 and 56801912301.

It is not an unprimeable number, because it can be changed into a prime (56801912837) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4853589 + ... + 4865277.

It is an arithmetic number, because the mean of its divisors is an integer number (2246917365).

Almost surely, 256801912337 is an apocalyptic number.

It is an amenable number.

56801912337 is a deficient number, since it is larger than the sum of its proper divisors (33074782263).

56801912337 is a wasteful number, since it uses less digits than its factorization.

56801912337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15247 (or 15238 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 56801912337 in words is "fifty-six billion, eight hundred one million, nine hundred twelve thousand, three hundred thirty-seven".

Divisors: 1 3 9 17 27 51 81 153 459 1377 3529 10587 11689 31761 35067 59993 95283 105201 179979 198713 285849 315603 539937 596139 946809 1619811 1788417 4859433 5365251 16095753 41250481 123751443 371254329 701258177 1113762987 2103774531 3341288961 6311323593 18933970779 56801912337