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192540354012 = 223271503149759
BaseRepresentation
bin1011001101010001001…
…1001010010111011100
3200101222110122101221200
42303110103022113130
511123310312312022
6224241331555500
716624221001656
oct2632423122734
9611873571850
10192540354012
1174724012816
123139545bb90
1315205a1cb76
1494674b56d6
15501d613bac
hex2cd44ca5dc

192540354012 has 72 divisors (see below), whose sum is σ = 494538670080. Its totient is φ = 63149953440.

The previous prime is 192540354001. The next prime is 192540354073. The reversal of 192540354012 is 210453045291.

192540354012 is a `hidden beast` number, since 192 + 5 + 403 + 54 + 0 + 12 = 666.

192540354012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1925403540122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1210789 + ... + 1360547.

It is an arithmetic number, because the mean of its divisors is an integer number (6868592640).

Almost surely, 2192540354012 is an apocalyptic number.

192540354012 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 192540354012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247269335040).

192540354012 is an abundant number, since it is smaller than the sum of its proper divisors (301998316068).

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

192540354012 is a wasteful number, since it uses less digits than its factorization.

192540354012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150343 (or 150338 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 192540354012 in words is "one hundred ninety-two billion, five hundred forty million, three hundred fifty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 503 639 852 1006 1278 1509 2012 2556 3018 4527 6036 9054 18108 35713 71426 107139 142852 149759 214278 299518 321417 428556 449277 599036 642834 898554 1285668 1347831 1797108 2695662 5391324 10632889 21265778 31898667 42531556 63797334 75328777 95696001 127594668 150657554 191392002 225986331 301315108 382784004 451972662 677958993 903945324 1355917986 2711835972 5348343167 10696686334 16045029501 21393372668 32090059002 48135088503 64180118004 96270177006 192540354012