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2315622388864 = 27671151234589
BaseRepresentation
bin100001101100100101110…
…110011001010010000000
322012101000201001110102011
4201230211312121102000
5300414343312420424
64531440544102304
7326204165354551
oct41544566312200
98171021043364
102315622388864
1181306051a064
12314949304994
1313a492b46455
148011074a328
154037be42694
hex21b25d99480

2315622388864 has 64 divisors (see below), whose sum is σ = 4686094771200. Its totient is φ = 1139534668800.

The previous prime is 2315622388771. The next prime is 2315622388889. The reversal of 2315622388864 is 4688832265132.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2315622388799 and 2315622388808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9753682 + ... + 9988270.

It is an arithmetic number, because the mean of its divisors is an integer number (73220230800).

Almost surely, 22315622388864 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 2315622388864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343047385600).

2315622388864 is an abundant number, since it is smaller than the sum of its proper divisors (2370472382336).

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

2315622388864 is a wasteful number, since it uses less digits than its factorization.

2315622388864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235821 (or 235809 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 58.

The spelling of 2315622388864 in words is "two trillion, three hundred fifteen billion, six hundred twenty-two million, three hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 1072 1151 2144 2302 4288 4604 8576 9208 18416 36832 73664 77117 147328 154234 234589 308468 469178 616936 938356 1233872 1876712 2467744 3753424 4935488 7506848 9870976 15013696 15717463 30027392 31434926 62869852 125739704 251479408 270011939 502958816 540023878 1005917632 1080047756 2011835264 2160095512 4320191024 8640382048 17280764096 18090799913 34561528192 36181599826 72363199652 144726399304 289452798608 578905597216 1157811194432 2315622388864