Search a number
-
+
54061113960 = 2335572223509
BaseRepresentation
bin110010010110010010…
…110010001001101000
312011112121112010200000
4302112102302021220
51341204121121320
640500233143000
73622453613100
oct622622621150
9164477463600
1054061113960
1120a220a9087
12a588b5aa60
13513723b439
14288bc32200
15161618cc90
hexc964b2268

54061113960 has 576 divisors, whose sum is σ = 213322636800. Its totient is φ = 12277246464.

The previous prime is 54061113943. The next prime is 54061113979. The reversal of 54061113960 is 6931116045.

54061113960 is a `hidden beast` number, since 5 + 4 + 0 + 611 + 1 + 39 + 6 + 0 = 666.

It is a super-2 number, since 2×540611139602 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106210186 + ... + 106210694.

It is an arithmetic number, because the mean of its divisors is an integer number (370351800).

Almost surely, 254061113960 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 54061113960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106661318400).

54061113960 is an abundant number, since it is smaller than the sum of its proper divisors (159261522840).

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

54061113960 is a wasteful number, since it uses less digits than its factorization.

54061113960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 54061113960 in words is "fifty-four billion, sixty-one million, one hundred thirteen thousand, nine hundred sixty".