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136616150016 = 210344193931
BaseRepresentation
bin111111100111011110…
…1010000010000000000
3111001122000101111020000
41333032331100100000
54214242213300031
6142432142120000
712604322054313
oct1771675202000
9431560344200
10136616150016
1152a36289605
1222588580000
13cb628020b8
14688006697a
153848b093e6
hex1fcef50400

136616150016 has 220 divisors, whose sum is σ = 409040219280. Its totient is φ = 45418475520.

The previous prime is 136616150009. The next prime is 136616150039. The reversal of 136616150016 is 610051616631.

136616150016 is a `hidden beast` number, since 1 + 36 + 6 + 1 + 615 + 0 + 0 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34751571 + ... + 34755501.

It is an arithmetic number, because the mean of its divisors is an integer number (1859273724).

Almost surely, 2136616150016 is an apocalyptic number.

136616150016 is a gapful number since it is divisible by the number (16) 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 136616150016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204520109640).

136616150016 is an abundant number, since it is smaller than the sum of its proper divisors (272424069264).

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

136616150016 is an equidigital number, since it uses as much as digits as its factorization.

136616150016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Adding to 136616150016 its reverse (610051616631), we get a palindrome (746667766647).

The spelling of 136616150016 in words is "one hundred thirty-six billion, six hundred sixteen million, one hundred fifty thousand, sixteen".