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1073324320704 = 263231503119503
BaseRepresentation
bin11111001111001110001…
…11010110011111000000
310210121102211001212001200
433213213013112133000
5120041132011230304
62141024533101200
7140354656123536
oct17474707263700
93717384055050
101073324320704
11384215663349
12154026187800
137a2a235c45c
1439d4076a156
151cdbdb30e39
hexf9e71d67c0

1073324320704 has 168 divisors, whose sum is σ = 3182072205312. Its totient is φ = 345542423040.

The previous prime is 1073324320703. The next prime is 1073324320709. The reversal of 1073324320704 is 4070234233701.

1073324320704 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 324 + 320 + 7 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073324320703) 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 23 ways as a sum of consecutive naturals, for example, 8921817 + ... + 9041319.

It is an arithmetic number, because the mean of its divisors is an integer number (18940905984).

Almost surely, 21073324320704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073324320704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591036102656).

1073324320704 is an abundant number, since it is smaller than the sum of its proper divisors (2108747884608).

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

1073324320704 is a wasteful number, since it uses less digits than its factorization.

1073324320704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120055 (or 120042 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 1073324320704 in words is "one trillion, seventy-three billion, three hundred twenty-four million, three hundred twenty thousand, seven hundred four".