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53532217152 = 26321011575861
BaseRepresentation
bin110001110110110001…
…001100111101000000
312010011202022101122100
4301312301030331000
51334113221422102
640331541110400
73603402223641
oct616661147500
9163152271570
1053532217152
11207805a5087
12a45b9b8400
1350817a954b
14283b8b76c8
1515d4a17a1c
hexc76c4cf40

53532217152 has 168 divisors, whose sum is σ = 155973258792. Its totient is φ = 17551872000.

The previous prime is 53532217111. The next prime is 53532217159. The reversal of 53532217152 is 25171223535.

53532217152 is a `hidden beast` number, since 5 + 3 + 532 + 2 + 1 + 71 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14858634816 + 38673582336 = 121896^2 + 196656^2 .

It is a super-2 number, since 2×535322171522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53532217159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9130702 + ... + 9136562.

Almost surely, 253532217152 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 53532217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77986629396).

53532217152 is an abundant number, since it is smaller than the sum of its proper divisors (102441041640).

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

53532217152 is a wasteful number, since it uses less digits than its factorization.

53532217152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6137 (or 6124 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The spelling of 53532217152 in words is "fifty-three billion, five hundred thirty-two million, two hundred seventeen thousand, one hundred fifty-two".