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189953651162880 = 2836511198111201
BaseRepresentation
bin101011001100001100000111…
…111001101011111100000000
3220220120101120112212221000000
4223030030013321223330000
5144344200034144203010
61511555300324000000
755003461361216203
oct5314140771537400
9826511515787000
10189953651162880
1155585988aaaa70
121937a359530000
1381cb724948567
1434c9b3d07193a
1516e61e50c27c0
hexacc307e6bf00

189953651162880 has 2016 divisors, whose sum is σ = 784989867674880. Its totient is φ = 43535646720000.

The previous prime is 189953651162819. The next prime is 189953651162903. The reversal of 189953651162880 is 88261156359981.

189953651162880 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 5 + 3 + 6 + 511 + 6 + 28 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 189953651162799 and 189953651162808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 158162906280 + ... + 158162907480.

It is an arithmetic number, because the mean of its divisors is an integer number (389379894680).

Almost surely, 2189953651162880 is an apocalyptic number.

189953651162880 is a gapful number since it is divisible by the number (10) 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 189953651162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392494933837440).

189953651162880 is an abundant number, since it is smaller than the sum of its proper divisors (595036216512000).

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

189953651162880 is a wasteful number, since it uses less digits than its factorization.

189953651162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 72.

The spelling of 189953651162880 in words is "one hundred eighty-nine trillion, nine hundred fifty-three billion, six hundred fifty-one million, one hundred sixty-two thousand, eight hundred eighty".