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6142772202336 = 25357112932663
BaseRepresentation
bin101100101100011100111…
…0000010100101101100000
3210202020120100121220100000
41121120321300110231200
51301120344140433321
621021541154500000
71202541423132060
oct131307160245540
923666510556300
106142772202336
111a59153848200
12832615b94600
133573513685b3
141734516873a0
15a9bc3252826
hex59639c14b60

6142772202336 has 432 divisors, whose sum is σ = 22756673302272. Its totient is φ = 1595523536640.

The previous prime is 6142772202331. The next prime is 6142772202367. The reversal of 6142772202336 is 6332022772416.

6142772202336 is a `hidden beast` number, since 6 + 1 + 42 + 7 + 72 + 202 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 6142772202291 and 6142772202300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6142772202331) 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 71 ways as a sum of consecutive naturals, for example, 6119941 + ... + 7052603.

It is an arithmetic number, because the mean of its divisors is an integer number (52677484496).

Almost surely, 26142772202336 is an apocalyptic number.

6142772202336 is a gapful number since it is divisible by the number (66) 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 6142772202336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11378336651136).

6142772202336 is an abundant number, since it is smaller than the sum of its proper divisors (16613901099936).

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

6142772202336 is a wasteful number, since it uses less digits than its factorization.

6142772202336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932717 (or 932686 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 6142772202336 in words is "six trillion, one hundred forty-two billion, seven hundred seventy-two million, two hundred two thousand, three hundred thirty-six".