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194232909312 = 2935132941101
BaseRepresentation
bin1011010011100100101…
…1101111111000000000
3200120100102111010100000
42310321023233320000
511140242111044222
6225121313200000
720014162326351
oct2647113577000
9616312433300
10194232909312
1175412460652
1231788260000
1315415590990
1495881bdd28
1550bbee69ac
hex2d392efe00

194232909312 has 960 divisors, whose sum is σ = 670001492160. Its totient is φ = 55738368000.

The previous prime is 194232909307. The next prime is 194232909313. The reversal of 194232909312 is 213909232491.

It is a happy number.

194232909312 is a `hidden beast` number, since 1 + 9 + 4 + 2 + 329 + 0 + 9 + 312 = 666.

194232909312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194232909313) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1923098062 + ... + 1923098162.

It is an arithmetic number, because the mean of its divisors is an integer number (697918221).

Almost surely, 2194232909312 is an apocalyptic number.

194232909312 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 194232909312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335000746080).

194232909312 is an abundant number, since it is smaller than the sum of its proper divisors (475768582848).

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

194232909312 is a wasteful number, since it uses less digits than its factorization.

194232909312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 194232909312 in words is "one hundred ninety-four billion, two hundred thirty-two million, nine hundred nine thousand, three hundred twelve".