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6973134336 = 29327289347
BaseRepresentation
bin1100111111010000…
…11001011000000000
3122222222011221000200
412133220121120000
5103240110244321
63111534245200
7334541443500
oct63750313000
918888157020
106973134336
112a59175043
121427356800
1387188a7bc
144a2165a00
152ac2add26
hex19fa19600

6973134336 has 360 divisors, whose sum is σ = 23741906760. Its totient is φ = 1964261376.

The previous prime is 6973134331. The next prime is 6973134379. The reversal of 6973134336 is 6334313796.

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

It is a junction number, because it is equal to n+sod(n) for n = 6973134291 and 6973134300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6973134331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20095315 + ... + 20095661.

It is an arithmetic number, because the mean of its divisors is an integer number (65949741).

Almost surely, 26973134336 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 6973134336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11870953380).

6973134336 is an abundant number, since it is smaller than the sum of its proper divisors (16768772424).

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

6973134336 is a wasteful number, since it uses less digits than its factorization.

6973134336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 448 counting only the distinct ones).

The product of its digits is 734832, while the sum is 45.

The square root of 6973134336 is about 83505.2952572470. The cubic root of 6973134336 is about 1910.4807992559.

The spelling of 6973134336 in words is "six billion, nine hundred seventy-three million, one hundred thirty-four thousand, three hundred thirty-six".