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53644649856 = 2737193121093
BaseRepresentation
bin110001111101011110…
…000110010110000000
312010110120212120022120
4301331132012112000
51334331012243411
640351035004240
73606236000040
oct617536062600
9163416776276
1053644649856
1120829008476
12a491599680
13509bb83c85
14284c7c3720
1515de826106
hexc7d786580

53644649856 has 384 divisors, whose sum is σ = 177291014400. Its totient is φ = 14039101440.

The previous prime is 53644649801. The next prime is 53644649857. The reversal of 53644649856 is 65894644635.

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

It is a self number, because there is not a number n which added to its sum of digits gives 53644649856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53644649857) 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 47 ways as a sum of consecutive naturals, for example, 49079646 + ... + 49080738.

It is an arithmetic number, because the mean of its divisors is an integer number (461695350).

Almost surely, 253644649856 is an apocalyptic number.

53644649856 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 53644649856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88645507200).

53644649856 is an abundant number, since it is smaller than the sum of its proper divisors (123646364544).

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

53644649856 is a wasteful number, since it uses less digits than its factorization.

53644649856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1155 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 60.

The spelling of 53644649856 in words is "fifty-three billion, six hundred forty-four million, six hundred forty-nine thousand, eight hundred fifty-six".