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189412973229312 = 2832723259571659
BaseRepresentation
bin101011000100010100100100…
…111111000011010100000000
3220211122200222202222002020100
4223010110210333003110000
5144311320232121314222
61510503041343242400
754616431023501160
oct5304244477032400
9824580882862210
10189412973229312
1155397655446a58
12192b16055a9400
13818c74a163a11
1434ab8cb60c5a0
1516d70ed1e34ac
hexac4524fc3500

189412973229312 has 1296 divisors, whose sum is σ = 665687781158400. Its totient is φ = 50721458135040.

The previous prime is 189412973229307. The next prime is 189412973229373. The reversal of 189412973229312 is 213922379214981.

It is a happy number.

189412973229312 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 1 + 2 + 97 + 3 + 229 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a self number, because there is not a number n which added to its sum of digits gives 189412973229312.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 287424845239 + ... + 287424845897.

Almost surely, 2189412973229312 is an apocalyptic number.

189412973229312 is a gapful number since it is divisible by the number (12) 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 189412973229312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332843890579200).

189412973229312 is an abundant number, since it is smaller than the sum of its proper divisors (476274807929088).

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

189412973229312 is a wasteful number, since it uses less digits than its factorization.

189412973229312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1324 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 189412973229312 in words is "one hundred eighty-nine trillion, four hundred twelve billion, nine hundred seventy-three million, two hundred twenty-nine thousand, three hundred twelve".