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5142973265892 = 223271119838211433
BaseRepresentation
bin100101011010111000100…
…0110000011011111100100
3200012122220122112120012100
41022311301012003133210
51133230302124002032
614534352125452100
71040365446320130
oct112656106033744
920178818476170
105142973265892
111703139371340
126b08ab411030
132b3c9893a197
1413acc7c1c3c0
158dba94a597c
hex4ad711837e4

5142973265892 has 576 divisors, whose sum is σ = 17299871447040. Its totient is φ = 1247888332800.

The previous prime is 5142973265879. The next prime is 5142973265893. The reversal of 5142973265892 is 2985623792415.

5142973265892 is a `hidden beast` number, since 5 + 1 + 4 + 29 + 7 + 3 + 26 + 589 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5142973265893) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3588954808 + ... + 3588956240.

It is an arithmetic number, because the mean of its divisors is an integer number (30034499040).

Almost surely, 25142973265892 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 5142973265892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8649935723520).

5142973265892 is an abundant number, since it is smaller than the sum of its proper divisors (12156898181148).

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

5142973265892 is a wasteful number, since it uses less digits than its factorization.

5142973265892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2379 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 5142973265892 in words is "five trillion, one hundred forty-two billion, nine hundred seventy-three million, two hundred sixty-five thousand, eight hundred ninety-two".