Search a number
-
+
116780207040 = 26325710095741
BaseRepresentation
bin110110011000010100…
…1001000101111000000
3102011102121120011220100
41230300221020233000
53403131213111130
6125351553042400
711302631244630
oct1546051105700
9364377504810
10116780207040
1145587423002
121a771556400
13b021108733
14591b8886c0
153087497c60
hex1b30a48bc0

116780207040 has 336 divisors, whose sum is σ = 459592436160. Its totient is φ = 26661519360.

The previous prime is 116780207009. The next prime is 116780207041. The reversal of 116780207040 is 40702087611.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 116780206986 and 116780207004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116780207041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20338570 + ... + 20344310.

Almost surely, 2116780207040 is an apocalyptic number.

116780207040 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 116780207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229796218080).

116780207040 is an abundant number, since it is smaller than the sum of its proper divisors (342812229120).

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

116780207040 is a wasteful number, since it uses less digits than its factorization.

116780207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6780 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 116780207040 in words is "one hundred sixteen billion, seven hundred eighty million, two hundred seven thousand, forty".