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190289330784 = 25337198212017
BaseRepresentation
bin1011000100111000100…
…0001100001001100000
3200012011120221120121000
42301032020030021200
511104203032041114
6223230120432000
716514355424020
oct2611610141140
9605146846530
10190289330784
1173779403743
1230a67618600
1314c37565467
1492d2555a80
154e3abb8e09
hex2c4e20c260

190289330784 has 384 divisors, whose sum is σ = 668826547200. Its totient is φ = 51418644480.

The previous prime is 190289330767. The next prime is 190289330797. The reversal of 190289330784 is 487033982091.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 190289330784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94341744 + ... + 94343760.

It is an arithmetic number, because the mean of its divisors is an integer number (1741735800).

Almost surely, 2190289330784 is an apocalyptic number.

190289330784 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 190289330784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334413273600).

190289330784 is an abundant number, since it is smaller than the sum of its proper divisors (478537216416).

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

190289330784 is a wasteful number, since it uses less digits than its factorization.

190289330784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 190289330784 in words is "one hundred ninety billion, two hundred eighty-nine million, three hundred thirty thousand, seven hundred eighty-four".