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192692376912 = 243721935912011
BaseRepresentation
bin1011001101110101011…
…1000101010101010000
3200102101001200222011110
42303131113011111100
511124113222030122
6224304402213320
716631045115300
oct2633527052520
9612331628143
10192692376912
11747a1906882
1231418354240
131522b379749
14947d769600
15502bb4290c
hex2cdd5c5550

192692376912 has 240 divisors, whose sum is σ = 611285875200. Its totient is φ = 52007719680.

The previous prime is 192692376907. The next prime is 192692376941. The reversal of 192692376912 is 219673296291.

192692376912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 47 ways as a sum of consecutive naturals, for example, 16036987 + ... + 16048997.

It is an arithmetic number, because the mean of its divisors is an integer number (2547024480).

Almost surely, 2192692376912 is an apocalyptic number.

192692376912 is a gapful number since it is divisible by the number (12) 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 192692376912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305642937600).

192692376912 is an abundant number, since it is smaller than the sum of its proper divisors (418593498288).

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

192692376912 is a wasteful number, since it uses less digits than its factorization.

192692376912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12414 (or 12401 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 57.

The spelling of 192692376912 in words is "one hundred ninety-two billion, six hundred ninety-two million, three hundred seventy-six thousand, nine hundred twelve".