Search a number
-
+
53190341568 = 26327137313901
BaseRepresentation
bin110001100010011001…
…000011001111000000
312002021221000022111200
4301202121003033000
51332413211412233
640234005341200
73562051305060
oct614231031700
9162257008450
1053190341568
1120615619981
12a385407800
135028a092c0
1428083233a0
1515b49d6313
hexc626433c0

53190341568 has 336 divisors, whose sum is σ = 190227850176. Its totient is φ = 13835059200.

The previous prime is 53190341551. The next prime is 53190341569. The reversal of 53190341568 is 86514309135.

53190341568 is a `hidden beast` number, since 53 + 1 + 9 + 0 + 34 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×531903415682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53190341569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3819418 + ... + 3833318.

It is an arithmetic number, because the mean of its divisors is an integer number (566154316).

Almost surely, 253190341568 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 53190341568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95113925088).

53190341568 is an abundant number, since it is smaller than the sum of its proper divisors (137037508608).

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

53190341568 is a wasteful number, since it uses less digits than its factorization.

53190341568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14012 (or 13999 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 53190341568 in words is "fifty-three billion, one hundred ninety million, three hundred forty-one thousand, five hundred sixty-eight".