Search a number
-
+
116707525988352 = 2123131947839857
BaseRepresentation
bin11010100010010100010110…
…101000010001000000000000
3120022020010112011001112220120
4122202110112220101000000
5110244114003123111402
61052114410340140240
733403561201640415
oct3242242650210000
9508203464045816
10116707525988352
1134206424952722
121110a84a397680
13501761b058220
1420b696279010c
15d75c6d31a3bc
hex6a2516a11000

116707525988352 has 832 divisors, whose sum is σ = 364639981547520. Its totient is φ = 32891681636352.

The previous prime is 116707525988323. The next prime is 116707525988353. The reversal of 116707525988352 is 253889525707611.

It is a tau number, because it is divible by the number of its divisors (832).

It is not an unprimeable number, because it can be changed into a prime (116707525988353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11840060608 + ... + 11840070464.

Almost surely, 2116707525988352 is an apocalyptic number.

116707525988352 is a gapful number since it is divisible by the number (12) 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 116707525988352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182319990773760).

116707525988352 is an abundant number, since it is smaller than the sum of its proper divisors (247932455559168).

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

116707525988352 is a wasteful number, since it uses less digits than its factorization.

116707525988352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10046 (or 10024 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 69.

The spelling of 116707525988352 in words is "one hundred sixteen trillion, seven hundred seven billion, five hundred twenty-five million, nine hundred eighty-eight thousand, three hundred fifty-two".