Search a number
-
+
53426924587008 = 2113471737193379
BaseRepresentation
bin11000010010111011011001…
…10111001000100000000000
321000011120020020100122110000
430021131230313020200000
524000321320143241013
6305343553524240000
714152652665662360
oct1411355467104000
9230146206318400
1053426924587008
1116029260101965
125baa5b4b40000
1323a71a2a594ab
14d29c3c4b49a0
15629b548d7973
hex30976cdc8800

53426924587008 has 1920 divisors, whose sum is σ = 199880621740800. Its totient is φ = 13869489586176.

The previous prime is 53426924587007. The next prime is 53426924587013. The reversal of 53426924587008 is 80078542962435.

53426924587008 is a `hidden beast` number, since 5 + 3 + 4 + 26 + 9 + 24 + 587 + 0 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (53426924587007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 140968138563 + ... + 140968138941.

It is an arithmetic number, because the mean of its divisors is an integer number (104104490490).

Almost surely, 253426924587008 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 53426924587008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99940310870400).

53426924587008 is an abundant number, since it is smaller than the sum of its proper divisors (146453697153792).

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

53426924587008 is a wasteful number, since it uses less digits than its factorization.

53426924587008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 53426924587008 in words is "fifty-three trillion, four hundred twenty-six billion, nine hundred twenty-four million, five hundred eighty-seven thousand, eight".