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116982497970 = 23451321722957
BaseRepresentation
bin110110011110010110…
…0110100001010110010
3102011221201012121220000
41230330230310022302
53404040004413340
6125424020530430
711310635553252
oct1547454641262
9364851177800
10116982497970
1145680630198
121a809250a16
13b053cb5700
14593a6a5962
15309a105d30
hex1b3cb342b2

116982497970 has 360 divisors, whose sum is σ = 361947440844. Its totient is φ = 27092662272.

The previous prime is 116982497941. The next prime is 116982497971. The reversal of 116982497970 is 79794289611.

116982497970 is a `hidden beast` number, since 1 + 1 + 69 + 82 + 497 + 9 + 7 + 0 = 666.

116982497970 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 18 ways, for example, as 12710984049 + 104271513921 = 112743^2 + 322911^2 .

It is a junction number, because it is equal to n+sod(n) for n = 116982497898 and 116982497907.

It is not an unprimeable number, because it can be changed into a prime (116982497971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 39559732 + ... + 39562688.

Almost surely, 2116982497970 is an apocalyptic number.

116982497970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116982497970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180973720422).

116982497970 is an abundant number, since it is smaller than the sum of its proper divisors (244964942874).

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

116982497970 is a wasteful number, since it uses less digits than its factorization.

116982497970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 116982497970 in words is "one hundred sixteen billion, nine hundred eighty-two million, four hundred ninety-seven thousand, nine hundred seventy".