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2563368323152 = 247213158592
BaseRepresentation
bin100101010011010100101…
…010001000100001010000
3100002001111112201220200011
4211103110222020201100
5313444234242320102
65241332315204304
7353124441145300
oct45232452104120
910061445656604
102563368323152
118a913365638a
1235496aa46694
13157955c23b40
148c0d3a49600
1546a2be102d7
hex254d4a88850

2563368323152 has 90 divisors (see below), whose sum is σ = 6222194304858. Its totient is φ = 1014015832704.

The previous prime is 2563368323141. The next prime is 2563368323161. The reversal of 2563368323152 is 2513238633652.

It can be written as a sum of positive squares in only one way, i.e., 1774639608336 + 788728714816 = 1332156^2 + 888104^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 2563368323096 and 2563368323105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 161626999 + ... + 161642857.

Almost surely, 22563368323152 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 2563368323152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111097152429).

2563368323152 is an abundant number, since it is smaller than the sum of its proper divisors (3658825981706).

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

2563368323152 is an frugal number, since it uses more digits than its factorization.

2563368323152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31753 (or 15881 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 49.

The spelling of 2563368323152 in words is "two trillion, five hundred sixty-three billion, three hundred sixty-eight million, three hundred twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 15859 31718 63436 111013 126872 206167 222026 253744 412334 444052 777091 824668 888104 1443169 1554182 1649336 1776208 2886338 3108364 3298672 5772676 6216728 10102183 11545352 12433456 20204366 23090704 40408732 80817464 161634928 251507881 503015762 1006031524 1760555167 2012063048 3269602453 3521110334 4024126096 6539204906 7042220668 12323886169 13078409812 14084441336 22887217171 24647772338 26156819624 28168882672 45774434342 49295544676 52313639248 91548868684 98591089352 160210520197 183097737368 197182178704 320421040394 366195474736 640842080788 1281684161576 2563368323152