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52124611968 = 2735111311719
BaseRepresentation
bin110000100010110111…
…100111010110000000
311222112122122122100000
4300202313213112000
51323222400040333
635540135200000
73523460614512
oct604267472600
9158478578300
1052124611968
1120118a91510
12a128516000
134bb8c97280
142746985bb2
15155116e713
hexc22de7580

52124611968 has 384 divisors, whose sum is σ = 182758867200. Its totient is φ = 14579066880.

The previous prime is 52124611909. The next prime is 52124611969. The reversal of 52124611968 is 86911642125.

52124611968 is a `hidden beast` number, since 5 + 2 + 1 + 24 + 611 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52124611969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4442013 + ... + 4453731.

It is an arithmetic number, because the mean of its divisors is an integer number (475934550).

Almost surely, 252124611968 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 52124611968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91379433600).

52124611968 is an abundant number, since it is smaller than the sum of its proper divisors (130634255232).

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

52124611968 is a wasteful number, since it uses less digits than its factorization.

52124611968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11772 (or 11748 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 52124611968 in words is "fifty-two billion, one hundred twenty-four million, six hundred eleven thousand, nine hundred sixty-eight".