Search a number
-
+
56115525150720 = 211355717189509
BaseRepresentation
bin11001100001001011010011…
…11100010110100000000000
321100200120222102122112100000
430300211221330112200000
524323344043414310340
6315203041045200000
714551133011465020
oct1460455174264000
9240616872575300
1056115525150720
1116975508023112
126363693a00000
132540895b5b309
14dc00122dda80
15674a60ccbd30
hex330969f16800

56115525150720 has 1152 divisors, whose sum is σ = 244062560851200. Its totient is φ = 12071847591936.

The previous prime is 56115525150673. The next prime is 56115525150743. The reversal of 56115525150720 is 2705152551165.

56115525150720 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 5 + 525 + 1 + 50 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 296015326 + ... + 296204834.

It is an arithmetic number, because the mean of its divisors is an integer number (211859861850).

Almost surely, 256115525150720 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 56115525150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122031280425600).

56115525150720 is an abundant number, since it is smaller than the sum of its proper divisors (187947035700480).

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

56115525150720 is a wasteful number, since it uses less digits than its factorization.

56115525150720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189575 (or 189543 counting only the distinct ones).

The product of its (nonzero) digits is 525000, while the sum is 45.

The spelling of 56115525150720 in words is "fifty-six trillion, one hundred fifteen billion, five hundred twenty-five million, one hundred fifty thousand, seven hundred twenty".