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5331697944768 = 2632132741259771
BaseRepresentation
bin100110110010110000111…
…1101100100100011000000
3200212201001012022120212200
41031211201331210203000
51144323304133213033
615201203114353200
71060126305525606
oct115454175444300
920781035276780
105331697944768
111776184546928
1272139aa2b800
132c8a13c94bc0
141460ac641876
1593a52b04013
hex4d961f648c0

5331697944768 has 168 divisors, whose sum is σ = 16463982561936. Its totient is φ = 1639917619200.

The previous prime is 5331697944751. The next prime is 5331697944779. The reversal of 5331697944768 is 8674497961335.

5331697944768 is a `hidden beast` number, since 5 + 3 + 3 + 1 + 69 + 7 + 94 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5331697944696 and 5331697944705.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20394723 + ... + 20654493.

It is an arithmetic number, because the mean of its divisors is an integer number (97999896202).

Almost surely, 25331697944768 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 5331697944768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8231991280968).

5331697944768 is an abundant number, since it is smaller than the sum of its proper divisors (11132284617168).

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

5331697944768 is a wasteful number, since it uses less digits than its factorization.

5331697944768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262543 (or 262530 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 5331697944768 in words is "five trillion, three hundred thirty-one billion, six hundred ninety-seven million, nine hundred forty-four thousand, seven hundred sixty-eight".