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52525948716 = 223323910191997
BaseRepresentation
bin110000111010110010…
…100101111100101100
312000120121211122212000
4300322302211330230
51330033120324331
640044033212300
73536433124503
oct607262457454
9160517748760
1052525948716
112030458a77a
12a21aa01090
134c51186137
142783db783a
1515764e90e6
hexc3aca5f2c

52525948716 has 96 divisors (see below), whose sum is σ = 136950912000. Its totient is φ = 17409559104.

The previous prime is 52525948687. The next prime is 52525948751. The reversal of 52525948716 is 61784952525.

52525948716 is a `hidden beast` number, since 5 + 2 + 525 + 9 + 48 + 71 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26301430 + ... + 26303426.

It is an arithmetic number, because the mean of its divisors is an integer number (1426572000).

Almost surely, 252525948716 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 52525948716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68475456000).

52525948716 is an abundant number, since it is smaller than the sum of its proper divisors (84424963284).

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

52525948716 is a wasteful number, since it uses less digits than its factorization.

52525948716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3260 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 52525948716 in words is "fifty-two billion, five hundred twenty-five million, nine hundred forty-eight thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 239 478 717 956 1019 1434 1997 2038 2151 2868 3057 3994 4076 4302 5991 6114 6453 7988 8604 9171 11982 12228 12906 17973 18342 23964 25812 27513 35946 36684 53919 55026 71892 107838 110052 215676 243541 477283 487082 730623 954566 974164 1431849 1461246 1909132 2034943 2191869 2863698 2922492 4069886 4295547 4383738 5727396 6104829 6575607 8139772 8591094 8767476 12209658 12886641 13151214 17182188 18314487 24419316 25773282 26302428 36628974 51546564 54943461 73257948 109886922 219773844 486351377 972702754 1459054131 1945405508 2918108262 4377162393 5836216524 8754324786 13131487179 17508649572 26262974358 52525948716