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5852053687536 = 2433717532147839
BaseRepresentation
bin101010100101000100110…
…0101001100110011110000
3202201110011200110011201000
41111022021211030303300
51231340001221000121
620240221340042000
71142540226415140
oct125121145146360
922643150404630
105852053687536
111956929820131
127a6200b33300
13335b00404684
141633530b0920
15a235a823526
hex5528994ccf0

5852053687536 has 320 divisors, whose sum is σ = 20709988761600. Its totient is φ = 1543969050624.

The previous prime is 5852053687531. The next prime is 5852053687567. The reversal of 5852053687536 is 6357863502585.

5852053687536 is a `hidden beast` number, since 5 + 8 + 5 + 20 + 536 + 8 + 75 + 3 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5852053687531) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1650705 + ... + 3798543.

It is an arithmetic number, because the mean of its divisors is an integer number (64718714880).

Almost surely, 25852053687536 is an apocalyptic number.

5852053687536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5852053687536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10354994380800).

5852053687536 is an abundant number, since it is smaller than the sum of its proper divisors (14857935074064).

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

5852053687536 is a wasteful number, since it uses less digits than its factorization.

5852053687536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147933 (or 2147921 counting only the distinct ones).

The product of its (nonzero) digits is 181440000, while the sum is 63.

The spelling of 5852053687536 in words is "five trillion, eight hundred fifty-two billion, fifty-three million, six hundred eighty-seven thousand, five hundred thirty-six".