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189613141760 = 285719231261
BaseRepresentation
bin1011000010010111010…
…0101110111100000000
3200010102110120121122002
42300211310232330000
511101311431014020
6223035043403132
716461535053320
oct2604564567400
9603373517562
10189613141760
1173461747939
12308b90834a8
1314b5a442003
14926a819280
154deb64b975
hex2c25d2ef00

189613141760 has 648 divisors, whose sum is σ = 575344613088. Its totient is φ = 58624819200.

The previous prime is 189613141643. The next prime is 189613141763. The reversal of 189613141760 is 67141316981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189613141763) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3108412130 + ... + 3108412190.

Almost surely, 2189613141760 is an apocalyptic number.

189613141760 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 189613141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287672306544).

189613141760 is an abundant number, since it is smaller than the sum of its proper divisors (385731471328).

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

189613141760 is an equidigital number, since it uses as much as digits as its factorization.

189613141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The spelling of 189613141760 in words is "one hundred eighty-nine billion, six hundred thirteen million, one hundred forty-one thousand, seven hundred sixty".