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191042466160 = 24573131971397
BaseRepresentation
bin1011000111101100000…
…1001011000101110000
3200021010002002211002211
42301323001023011300
511112223332404120
6223432543021504
716542132112000
oct2617301130560
9607102084084
10191042466160
1174025545477
123103789a894
13150275ba0b0
1493645a2000
154e81d8525a
hex2c7b04b170

191042466160 has 640 divisors, whose sum is σ = 596961792000. Its totient is φ = 56330588160.

The previous prime is 191042466151. The next prime is 191042466233. The reversal of 191042466160 is 61664240191.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 481215082 + ... + 481215478.

It is an arithmetic number, because the mean of its divisors is an integer number (932752800).

Almost surely, 2191042466160 is an apocalyptic number.

191042466160 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 191042466160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298480896000).

191042466160 is an abundant number, since it is smaller than the sum of its proper divisors (405919325840).

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

191042466160 is a wasteful number, since it uses less digits than its factorization.

191042466160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 191042466160 in words is "one hundred ninety-one billion, forty-two million, four hundred sixty-six thousand, one hundred sixty".