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189642841080 = 23357111710311171
BaseRepresentation
bin1011000010011110011…
…0000001101111111000
3200010111112110111102220
42300213212001233320
511101342031403310
6223042024124040
716462345360260
oct2604746015770
9603445414386
10189642841080
1173477492430
1230907006620
1314b63640184
14927074a7a0
154dee066670
hex2c27981bf8

189642841080 has 512 divisors, whose sum is σ = 752408248320. Its totient is φ = 37020672000.

The previous prime is 189642841061. The next prime is 189642841121. The reversal of 189642841080 is 80148246981.

189642841080 is digitally balanced in base 2, because in such base 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 (51).

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 127 ways as a sum of consecutive naturals, for example, 161948895 + ... + 161950065.

It is an arithmetic number, because the mean of its divisors is an integer number (1469547360).

Almost surely, 2189642841080 is an apocalyptic number.

189642841080 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 189642841080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376204124160).

189642841080 is an abundant number, since it is smaller than the sum of its proper divisors (562765407240).

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

189642841080 is a wasteful number, since it uses less digits than its factorization.

189642841080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 189642841080 in words is "one hundred eighty-nine billion, six hundred forty-two million, eight hundred forty-one thousand, eighty".