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53012643840 = 214325135531
BaseRepresentation
bin110001010111110011…
…001100000000000000
312001211112122100001100
4301113303030000000
51332032214100330
640204220534400
73554463015642
oct612763140000
9161745570040
1053012643840
1120534289a52
12a3359b1400
134ccac60310
1427cc8a8892
1515a40d5060
hexc57ccc000

53012643840 has 360 divisors, whose sum is σ = 197943612048. Its totient is φ = 13046906880.

The previous prime is 53012643799. The next prime is 53012643841. The reversal of 53012643840 is 4834621035.

53012643840 is a `hidden beast` number, since 5 + 3 + 0 + 1 + 2 + 643 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 53012643795 and 53012643804.

It is not an unprimeable number, because it can be changed into a prime (53012643841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9581875 + ... + 9587405.

Almost surely, 253012643840 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 53012643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98971806024).

53012643840 is an abundant number, since it is smaller than the sum of its proper divisors (144930968208).

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

53012643840 is a wasteful number, since it uses less digits than its factorization.

53012643840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 53012643840 in words is "fifty-three billion, twelve million, six hundred forty-three thousand, eight hundred forty".