Search a number
-
+
54060051161160 = 2333511174311535399
BaseRepresentation
bin11000100101010110101100…
…01001010110000001001000
321002102002102220201000202000
430102223112021112001020
524041204441044124120
6310550502240111000
714246465315033652
oct1422532611260110
9232362386630660
1054060051161160
11162528145a0970
126091249905460
132421ac174c665
14d4c7401176d2
1563b35cac6990
hex312ad6256048

54060051161160 has 1024 divisors, whose sum is σ = 213210455040000. Its totient is φ = 12035028418560.

The previous prime is 54060051161113. The next prime is 54060051161173. The reversal of 54060051161160 is 6116115006045.

54060051161160 is a `hidden beast` number, since 5 + 40 + 600 + 5 + 1 + 1 + 6 + 1 + 1 + 6 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 10012972141 + ... + 10012977539.

It is an arithmetic number, because the mean of its divisors is an integer number (208213335000).

Almost surely, 254060051161160 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 54060051161160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106605227520000).

54060051161160 is an abundant number, since it is smaller than the sum of its proper divisors (159150403878840).

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

54060051161160 is a wasteful number, since it uses less digits than its factorization.

54060051161160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6643 (or 6633 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 54060051161160 in words is "fifty-four trillion, sixty billion, fifty-one million, one hundred sixty-one thousand, one hundred sixty".