Search a number
-
+
116570886048 = 25331719617677
BaseRepresentation
bin110110010010000101…
…0101000111110100000
3102010220000200120111000
41230210022220332200
53402214121323143
6125315114352000
711264510116431
oct1544412507640
9363800616430
10116570886048
114548a254051
121a71342b600
13acb9939966
1458dbb5b488
153073debbd3
hex1b242a8fa0

116570886048 has 384 divisors, whose sum is σ = 380120428800. Its totient is φ = 34539208704.

The previous prime is 116570886037. The next prime is 116570886059. The reversal of 116570886048 is 840688075611.

It is a happy number.

116570886048 is a `hidden beast` number, since 1 + 1 + 6 + 570 + 8 + 8 + 60 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (116570886037) and next prime (116570886059).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 116570885985 and 116570886003.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172187086 + ... + 172187762.

It is an arithmetic number, because the mean of its divisors is an integer number (989896950).

Almost surely, 2116570886048 is an apocalyptic number.

116570886048 is a gapful number since it is divisible by the number (18) 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 116570886048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190060214400).

116570886048 is an abundant number, since it is smaller than the sum of its proper divisors (263549542752).

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

116570886048 is a wasteful number, since it uses less digits than its factorization.

116570886048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 116570886048 in words is "one hundred sixteen billion, five hundred seventy million, eight hundred eighty-six thousand, forty-eight".