Search a number
-
+
196526135808 = 29321923137103
BaseRepresentation
bin1011011100000111011…
…1101101101000000000
3200210021020121002200200
42313001313231220000
511204441142321213
6230141033045200
720125046410032
oct2670167555000
9623236532620
10196526135808
1176389975662
1232108256800
13156bc703a32
1497249a7c52
1551a34cb273
hex2dc1deda00

196526135808 has 720 divisors, whose sum is σ = 640782844416. Its totient is φ = 57868369920.

The previous prime is 196526135807. The next prime is 196526135809. The reversal of 196526135808 is 808531625691.

196526135808 is a `hidden beast` number, since 1 + 9 + 6 + 52 + 6 + 1 + 3 + 580 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (196526135807) and next prime (196526135809).

It is not an unprimeable number, because it can be changed into a prime (196526135807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1908020685 + ... + 1908020787.

Almost surely, 2196526135808 is an apocalyptic number.

196526135808 is a gapful number since it is divisible by the number (18) 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 196526135808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320391422208).

196526135808 is an abundant number, since it is smaller than the sum of its proper divisors (444256708608).

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

196526135808 is a wasteful number, since it uses less digits than its factorization.

196526135808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 196526135808 in words is "one hundred ninety-six billion, five hundred twenty-six million, one hundred thirty-five thousand, eight hundred eight".