Search a number
-
+
52886549753856 = 2123271321983769
BaseRepresentation
bin11000000011001100111000…
…00000101111000000000000
320221020220102120202220021200
430001212130000233000000
523412443123214110411
6304251425012221200
714065633001456130
oct1401463400570000
9227226376686250
1052886549753856
111594007264a765
125b2192660a800
132368245cb9a00
14d0ba18dd0ac0
1561aa7942ae56
hex30199c02f000

52886549753856 has 1872 divisors, whose sum is σ = 201660742483200. Its totient is φ = 13037809434624.

The previous prime is 52886549753813. The next prime is 52886549753881. The reversal of 52886549753856 is 65835794568825.

52886549753856 is a `hidden beast` number, since 5 + 28 + 8 + 6 + 5 + 4 + 9 + 7 + 538 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-2 number, since 2×528865497538562 (a number of 28 digits) contains 22 as substring.

Its product of digits (17418240000) is a multiple of the sum of its prime divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68773146240 + ... + 68773147008.

It is an arithmetic number, because the mean of its divisors is an integer number (107724755600).

Almost surely, 252886549753856 is an apocalyptic number.

52886549753856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52886549753856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100830371241600).

52886549753856 is an abundant number, since it is smaller than the sum of its proper divisors (148774192729344).

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

52886549753856 is a wasteful number, since it uses less digits than its factorization.

52886549753856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 896 counting only the distinct ones).

The product of its digits is 17418240000, while the sum is 81.

The spelling of 52886549753856 in words is "fifty-two trillion, eight hundred eighty-six billion, five hundred forty-nine million, seven hundred fifty-three thousand, eight hundred fifty-six".