Search a number
-
+
116638642576 = 24853812
BaseRepresentation
bin110110010100000110…
…1000111000110010000
3102011001202011221222001
41230220031013012100
53402333443030301
6125325534523344
711266262050351
oct1545015070620
9364052157861
10116638642576
1145514522585
121a732066554
13acca9a1291
145906b57d28
153079d32c01
hex1b28347190

116638642576 has 15 divisors (see below), whose sum is σ = 225990016833. Its totient is φ = 58318638240.

The previous prime is 116638642529. The next prime is 116638642577. The reversal of 116638642576 is 675246836611.

It is a happy number.

The square root of 116638642576 is 341524.

It is a perfect power (a square), and thus also a powerful number.

116638642576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9316882576 + 107321760000 = 96524^2 + 327600^2 .

It is a super-3 number, since 3×1166386425763 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116638642577) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1323406 + ... + 1408786.

Almost surely, 2116638642576 is an apocalyptic number.

116638642576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

116638642576 is the 341524-th square number.

It is an amenable number.

116638642576 is a deficient number, since it is larger than the sum of its proper divisors (109351374257).

116638642576 is an frugal number, since it uses more digits than its factorization.

116638642576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170770 (or 85383 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 55.

The spelling of 116638642576 in words is "one hundred sixteen billion, six hundred thirty-eight million, six hundred forty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 85381 170762 341524 683048 1366096 7289915161 14579830322 29159660644 58319321288 116638642576