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52083001406865 = 35111324281119537
BaseRepresentation
bin10111101011110100001001…
…10011000011010110010001
320211102002022220210110022010
423311322010303003112101
523311311441330004430
6302434333414333133
713653605220303132
oct1365720463032621
9224362286713263
1052083001406865
11156603055473a0
125a1204b95a1a9
13230a537b76b40
14cc0b8b6c3c89
15604be987bcb0
hex2f5e84cc3591

52083001406865 has 32 divisors (see below), whose sum is σ = 97901473977216. Its totient is φ = 23309874754560.

The previous prime is 52083001406789. The next prime is 52083001406867. The reversal of 52083001406865 is 56860410038025.

It is a happy number.

52083001406865 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52083001406865 - 220 = 52083000358289 is a prime.

It is a super-3 number, since 3×520830014068653 (a number of 42 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52083001406867) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12140557624 + ... + 12140561913.

It is an arithmetic number, because the mean of its divisors is an integer number (3059421061788).

Almost surely, 252083001406865 is an apocalyptic number.

52083001406865 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52083001406865 is a deficient number, since it is larger than the sum of its proper divisors (45818472570351).

52083001406865 is a wasteful number, since it uses less digits than its factorization.

52083001406865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24281119569.

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 52083001406865 in words is "fifty-two trillion, eighty-three billion, one million, four hundred six thousand, eight hundred sixty-five".

Divisors: 1 3 5 11 13 15 33 39 55 65 143 165 195 429 715 2145 24281119537 72843358611 121405597685 267092314907 315654553981 364216793055 801276944721 946963661943 1335461574535 1578272769905 3472200093791 4006384723605 4734818309715 10416600281373 17361000468955 52083001406865