Search a number
-
+
115861487040 = 26325136197523
BaseRepresentation
bin110101111100111100…
…0011111110111000000
3102002001120211100222200
41223321320133313000
53344241020041130
6125120453433200
711241104250645
oct1537170376700
9362046740880
10115861487040
1145155875082
121a55593b800
13ac05989430
145871857dcc
1530319be760
hex1af9e1fdc0

115861487040 has 672 divisors, whose sum is σ = 441545447616. Its totient is φ = 27709931520.

The previous prime is 115861487023. The next prime is 115861487051. The reversal of 115861487040 is 40784168511.

115861487040 is a `hidden beast` number, since 11 + 586 + 14 + 8 + 7 + 0 + 40 = 666.

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

It is a congruent number.

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, 221532219 + ... + 221532741.

It is an arithmetic number, because the mean of its divisors is an integer number (657061678).

Almost surely, 2115861487040 is an apocalyptic number.

115861487040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115861487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220772723808).

115861487040 is an abundant number, since it is smaller than the sum of its proper divisors (325683960576).

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

115861487040 is a wasteful number, since it uses less digits than its factorization.

115861487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 115861487040 in words is "one hundred fifteen billion, eight hundred sixty-one million, four hundred eighty-seven thousand, forty".