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189452135964 = 223713217412467
BaseRepresentation
bin1011000001110000111…
…0100010111000011100
3200010000020121200012110
42300130032202320130
511100444221322324
6223011052434020
716454541404550
oct2603416427034
9603006550173
10189452135964
11733898788a3
1230873178910
1314b32c8b800
1492532a7860
154ddc446329
hex2c1c3a2e1c

189452135964 has 432 divisors, whose sum is σ = 594980515584. Its totient is φ = 45781032960.

The previous prime is 189452135921. The next prime is 189452136031. The reversal of 189452135964 is 469531254981.

It is a super-2 number, since 2×1894521359642 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 405678859 + ... + 405679325.

It is an arithmetic number, because the mean of its divisors is an integer number (1377269712).

Almost surely, 2189452135964 is an apocalyptic number.

189452135964 is a gapful number since it is divisible by the number (14) 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 189452135964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297490257792).

189452135964 is an abundant number, since it is smaller than the sum of its proper divisors (405528379620).

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

189452135964 is a wasteful number, since it uses less digits than its factorization.

189452135964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 550 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 57.

The spelling of 189452135964 in words is "one hundred eighty-nine billion, four hundred fifty-two million, one hundred thirty-five thousand, nine hundred sixty-four".