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189774312000 = 26353713312803
BaseRepresentation
bin1011000010111101101…
…1100011001001000000
3200010211200211220122020
42300233123203021000
511102124210441000
6223103042041440
716465533015360
oct2605733431100
9603750756566
10189774312000
1173534719489
1230943049280
1314b84952310
149283db09a0
154e0a885ba0
hex2c2f6e3240

189774312000 has 896 divisors, whose sum is σ = 796405628928. Its totient is φ = 38734848000.

The previous prime is 189774311981. The next prime is 189774312011. The reversal of 189774312000 is 213477981.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 67702599 + ... + 67705401.

It is an arithmetic number, because the mean of its divisors is an integer number (888845568).

Almost surely, 2189774312000 is an apocalyptic number.

189774312000 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 189774312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398202814464).

189774312000 is an abundant number, since it is smaller than the sum of its proper divisors (606631316928).

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

189774312000 is a wasteful number, since it uses less digits than its factorization.

189774312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

Adding to 189774312000 its reverse (213477981), we get a palindrome (189987789981).

The spelling of 189774312000 in words is "one hundred eighty-nine billion, seven hundred seventy-four million, three hundred twelve thousand".