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4329029380032 = 263272160995327
BaseRepresentation
bin111110111111101110010…
…000100010011111000000
3120022211222111112000202200
4332333232100202133000
51031411323010130112
613112421215313200
7624522245410500
oct76775620423700
916284874460680
104329029380032
111419a27255835
1259abb321b800
132552c1b9ac96
1410d751a29a00
157791be66cdc
hex3efee4227c0

4329029380032 has 252 divisors, whose sum is σ = 14443361674560. Its totient is φ = 1236083853312.

The previous prime is 4329029380021. The next prime is 4329029380033. The reversal of 4329029380032 is 2300839209234.

4329029380032 is a `hidden beast` number, since 4 + 329 + 0 + 293 + 8 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 4329029380032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4329029380033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45364753 + ... + 45460079.

It is an arithmetic number, because the mean of its divisors is an integer number (57314927280).

Almost surely, 24329029380032 is an apocalyptic number.

4329029380032 is a gapful number since it is divisible by the number (42) 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 4329029380032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221680837280).

4329029380032 is an abundant number, since it is smaller than the sum of its proper divisors (10114332294528).

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

4329029380032 is a wasteful number, since it uses less digits than its factorization.

4329029380032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96968 (or 96948 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 4329029380032 in words is "four trillion, three hundred twenty-nine billion, twenty-nine million, three hundred eighty thousand, thirty-two".