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189602196350784 = 2637569303781637
BaseRepresentation
bin101011000111000100110011…
…100011111110011101000000
3220212022210102001122121121120
4223013010303203332131000
5144322420244231211114
61511130014015352240
754636210114466230
oct5307046343763500
9825283361577546
10189602196350784
115545a926a14878
1219322213b22680
1381a4544849999
1434b6b1c2ddcc0
1516dbec549d5a9
hexac71338fe740

189602196350784 has 224 divisors, whose sum is σ = 574524668901120. Its totient is φ = 54058382180352.

The previous prime is 189602196350683. The next prime is 189602196350803. The reversal of 189602196350784 is 487053691206981.

189602196350784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1896021963507842 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2322462414 + ... + 2322544050.

It is an arithmetic number, because the mean of its divisors is an integer number (2564842271880).

It is a 2-persistent number, because it is pandigital, and so is 2⋅189602196350784 = 379204392701568, but 3⋅189602196350784 = 568806589052352 is not.

Almost surely, 2189602196350784 is an apocalyptic number.

189602196350784 is a gapful number since it is divisible by the number (14) 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 189602196350784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287262334450560).

189602196350784 is an abundant number, since it is smaller than the sum of its proper divisors (384922472550336).

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

189602196350784 is a wasteful number, since it uses less digits than its factorization.

189602196350784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85265 (or 85255 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 189602196350784 in words is "one hundred eighty-nine trillion, six hundred two billion, one hundred ninety-six million, three hundred fifty thousand, seven hundred eighty-four".