Search a number
-
+
136925586336 = 253711216310331
BaseRepresentation
bin111111110000101100…
…1101010001110100000
3111002102120122111001110
41333201121222032200
54220410422230321
6142522554303320
712615100165110
oct1774131521640
9432376574043
10136925586336
1153084a18700
1222654127b40
13cbb1955006
1468ad1b5040
153865d7e176
hex1fe166a3a0

136925586336 has 288 divisors, whose sum is σ = 454328953344. Its totient is φ = 35343475200.

The previous prime is 136925586319. The next prime is 136925586359. The reversal of 136925586336 is 633685529631.

It is a super-3 number, since 3×1369255863363 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13248691 + ... + 13259021.

It is an arithmetic number, because the mean of its divisors is an integer number (1577531088).

Almost surely, 2136925586336 is an apocalyptic number.

136925586336 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 136925586336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227164476672).

136925586336 is an abundant number, since it is smaller than the sum of its proper divisors (317403367008).

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

136925586336 is a wasteful number, since it uses less digits than its factorization.

136925586336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536 (or 10517 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 57.

The spelling of 136925586336 in words is "one hundred thirty-six billion, nine hundred twenty-five million, five hundred eighty-six thousand, three hundred thirty-six".