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52972740955008 = 2733719432157397
BaseRepresentation
bin11000000101101101011010…
…11010000100101110000000
320221120010220101201120122000
430002312231122010232000
523420401133141030013
6304355201412544000
714105103621545640
oct1402665532045600
9227503811646560
1052972740955008
11159736822aa906
125b3657b922000
1323734009b3954
14d11c7410a520
1561ce211ee973
hex302dad684b80

52972740955008 has 1536 divisors, whose sum is σ = 194272320384000. Its totient is φ = 13880776605696.

The previous prime is 52972740954977. The next prime is 52972740955063. The reversal of 52972740955008 is 80055904727925.

52972740955008 is a `hidden beast` number, since 5 + 2 + 9 + 7 + 2 + 74 + 0 + 9 + 550 + 0 + 8 = 666.

It is a super-2 number, since 2×529727409550082 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 133432596666 + ... + 133432597062.

It is an arithmetic number, because the mean of its divisors is an integer number (126479375250).

Almost surely, 252972740955008 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 52972740955008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97136160192000).

52972740955008 is an abundant number, since it is smaller than the sum of its proper divisors (141299579428992).

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

52972740955008 is a wasteful number, since it uses less digits than its factorization.

52972740955008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 52972740955008 in words is "fifty-two trillion, nine hundred seventy-two billion, seven hundred forty million, nine hundred fifty-five thousand, eight".