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196618968 = 233372131429
BaseRepresentation
bin10111011100000…
…10101011011000
3111200222021112000
423232002223120
5400313301333
631302121000
74605143100
oct1356025330
9450867460
10196618968
11a0a93817
1255a20160
13319723b0
141c182200
15123dc713
hexbb82ad8

196618968 has 192 divisors, whose sum is σ = 684684000. Its totient is φ = 51819264.

The previous prime is 196618963. The next prime is 196618993. The reversal of 196618968 is 869816691.

196618968 is a `hidden beast` number, since 19 + 6 + 618 + 9 + 6 + 8 = 666.

196618968 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196618963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136878 + ... + 138306.

Almost surely, 2196618968 is an apocalyptic number.

196618968 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 196618968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342342000).

196618968 is an abundant number, since it is smaller than the sum of its proper divisors (488065032).

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

196618968 is a wasteful number, since it uses less digits than its factorization.

196618968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1454 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 196618968 is about 14022.0885748165. The cubic root of 196618968 is about 581.4894023192.

The spelling of 196618968 in words is "one hundred ninety-six million, six hundred eighteen thousand, nine hundred sixty-eight".