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4234505054976 = 2832719531272053
BaseRepresentation
bin111101100111101100001…
…010110110101100000000
3112222210222221022210102200
4331213230022312230000
51023334231243224401
613001145455113200
7614634661042050
oct75475412665400
915883887283380
104234505054976
11139293078a329
12584813212800
132494099362b1
14108d45ccd560
15752387e4686
hex3d9ec2b6b00

4234505054976 has 864 divisors, whose sum is σ = 15089970954240. Its totient is φ = 1115157528576.

The previous prime is 4234505054971. The next prime is 4234505055041. The reversal of 4234505054976 is 6794505054324.

It is a happy number.

4234505054976 is a `hidden beast` number, since 4 + 2 + 3 + 45 + 0 + 50 + 549 + 7 + 6 = 666.

4234505054976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4234505054971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2062592766 + ... + 2062594818.

It is an arithmetic number, because the mean of its divisors is an integer number (17465244160).

Almost surely, 24234505054976 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 4234505054976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544985477120).

4234505054976 is an abundant number, since it is smaller than the sum of its proper divisors (10855465899264).

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

4234505054976 is a wasteful number, since it uses less digits than its factorization.

4234505054976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 4234505054976 in words is "four trillion, two hundred thirty-four billion, five hundred five million, fifty-four thousand, nine hundred seventy-six".