Search a number
-
+
52937911237968 = 2436172934871871
BaseRepresentation
bin11000000100101100100010…
…11001001111110101010000
320221102211000001110122000000
430002112101121033311100
523414313320234103333
6304331201331130000
714102431535050251
oct1402262131176520
9227384001418000
1052937911237968
111595a929894999
125b2b87b443900
13237003cb41023
14d102cc488b28
1561c0835a8713
hex30259164fd50

52937911237968 has 560 divisors, whose sum is σ = 163805076804096. Its totient is φ = 16508475371520.

The previous prime is 52937911237957. The next prime is 52937911238011. The reversal of 52937911237968 is 86973211973925.

52937911237968 is a `hidden beast` number, since 5 + 2 + 9 + 379 + 1 + 123 + 79 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 52937911237896 and 52937911237905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 28293912073 + ... + 28293913943.

Almost surely, 252937911237968 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 52937911237968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81902538402048).

52937911237968 is an abundant number, since it is smaller than the sum of its proper divisors (110867165566128).

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

52937911237968 is a wasteful number, since it uses less digits than its factorization.

52937911237968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2673 counting only the distinct ones).

The product of its digits is 308629440, while the sum is 72.

The spelling of 52937911237968 in words is "fifty-two trillion, nine hundred thirty-seven billion, nine hundred eleven million, two hundred thirty-seven thousand, nine hundred sixty-eight".