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329946199992 = 233224329188359
BaseRepresentation
bin1001100110100100101…
…00110111011110111000
31011112122111222121101100
410303102110313132320
520401212211344432
6411324124051400
732560242266013
oct4632224673670
91145574877340
10329946199992
11117a25034612
1253b42393b60
1325163007a86
1411d8038437a
1588b170c07c
hex4cd25377b8

329946199992 has 48 divisors (see below), whose sum is σ = 893645766000. Its totient is φ = 109976962176.

The previous prime is 329946199969. The next prime is 329946199997. The reversal of 329946199992 is 299991649923.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 329946199992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329946199997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1657509 + ... + 1845867.

It is an arithmetic number, because the mean of its divisors is an integer number (18617620125).

Almost surely, 2329946199992 is an apocalyptic number.

It is an amenable number.

329946199992 is an abundant number, since it is smaller than the sum of its proper divisors (563699566008).

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

329946199992 is a wasteful number, since it uses less digits than its factorization.

329946199992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212700 (or 212693 counting only the distinct ones).

The product of its digits is 153055008, while the sum is 72.

The spelling of 329946199992 in words is "three hundred twenty-nine billion, nine hundred forty-six million, one hundred ninety-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 24329 48658 72987 97316 145974 188359 194632 218961 291948 376718 437922 565077 583896 753436 875844 1130154 1506872 1695231 1751688 2260308 3390462 4520616 6780924 13561848 4582586111 9165172222 13747758333 18330344444 27495516666 36660688888 41243274999 54991033332 82486549998 109982066664 164973099996 329946199992