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192148992000 = 2123253722337
BaseRepresentation
bin1011001011110011111…
…0001111000000000000
3200100222012020011012100
42302330332033000000
511122010120221000
6224134431430400
716611426324600
oct2627476170000
9610865204170
10192148992000
1174543107739
12312a6385400
1315172914204
14942b51cc00
154ee90a9a00
hex2cbcf8f000

192148992000 has 1872 divisors, whose sum is σ = 863524314432. Its totient is φ = 40874803200.

The previous prime is 192148991989. The next prime is 192148992047. The reversal of 192148992000 is 299841291.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 5193215982 + ... + 5193216018.

It is an arithmetic number, because the mean of its divisors is an integer number (461284356).

Almost surely, 2192148992000 is an apocalyptic number.

192148992000 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 192148992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431762157216).

192148992000 is an abundant number, since it is smaller than the sum of its proper divisors (671375322432).

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

192148992000 is a wasteful number, since it uses less digits than its factorization.

192148992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 192148992000 in words is "one hundred ninety-two billion, one hundred forty-eight million, nine hundred ninety-two thousand".