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5346921730752 = 26347283253609
BaseRepresentation
bin100110111001110110101…
…0111101101001011000000
3200221011100011120001020000
41031303231113231023000
51200100443430341002
615212201505120000
71061205463550400
oct115635527551300
920834304501200
105346921730752
111781686a17638
12724329329000
132ca29bca59a4
14146b1447a800
15941443c061c
hex4dced5ed2c0

5346921730752 has 420 divisors, whose sum is σ = 18659912677560. Its totient is φ = 1509280045056.

The previous prime is 5346921730751. The next prime is 5346921730769. The reversal of 5346921730752 is 2570371296435.

5346921730752 is a `hidden beast` number, since 5 + 3 + 469 + 2 + 173 + 0 + 7 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5346921730751) 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 59 ways as a sum of consecutive naturals, for example, 20956524 + ... + 21210132.

It is an arithmetic number, because the mean of its divisors is an integer number (44428363518).

Almost surely, 25346921730752 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 5346921730752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9329956338780).

5346921730752 is an abundant number, since it is smaller than the sum of its proper divisors (13312990946808).

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

5346921730752 is a wasteful number, since it uses less digits than its factorization.

5346921730752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253730 (or 253704 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 5346921730752 in words is "five trillion, three hundred forty-six billion, nine hundred twenty-one million, seven hundred thirty thousand, seven hundred fifty-two".