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25564138639368 = 23373134911406081
BaseRepresentation
bin1011101000000000111010…
…11001110001000000001000
310100111220111202221210222020
411310000131121301000020
511322320323442424433
6130212000403324440
75245643121060210
oct564003531610010
9110456452853866
1025564138639368
11816676589606a
122a4a602380720
1311358c34c6584
1464544d1dd240
152e4eade4bcb3
hex17401d671008

25564138639368 has 128 divisors (see below), whose sum is σ = 75418188963840. Its totient is φ = 7066395648000.

The previous prime is 25564138639349. The next prime is 25564138639381. The reversal of 25564138639368 is 86393683146552.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17478088 + ... + 18884168.

It is an arithmetic number, because the mean of its divisors is an integer number (589204601280).

Almost surely, 225564138639368 is an apocalyptic number.

25564138639368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25564138639368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37709094481920).

25564138639368 is an abundant number, since it is smaller than the sum of its proper divisors (49854050324472).

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

25564138639368 is a wasteful number, since it uses less digits than its factorization.

25564138639368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409619 (or 1409615 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 69.

The spelling of 25564138639368 in words is "twenty-five trillion, five hundred sixty-four billion, one hundred thirty-eight million, six hundred thirty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 3491 5208 6982 10473 13964 20946 24437 27928 41892 48874 73311 83784 97748 108221 146622 195496 216442 293244 324663 432884 586488 649326 757547 865768 1298652 1406081 1515094 2272641 2597304 2812162 3030188 4218243 4545282 5624324 6060376 8436486 9090564 9842567 11248648 16872972 18181128 19685134 29527701 33745944 39370268 43588511 59055402 78740536 87177022 118110804 130765533 174354044 236221608 261531066 305119577 348708088 523062132 610239154 915358731 1046124264 1220478308 1830717462 2440956616 3661434924 4908628771 7322869848 9817257542 14725886313 19634515084 29451772626 34360401397 39269030168 58903545252 68720802794 103081204191 117807090504 137441605588 152167491901 206162408382 274883211176 304334983802 412324816764 456502475703 608669967604 824649633528 913004951406 1065172443307 1217339935208 1826009902812 2130344886614 3195517329921 3652019805624 4260689773228 6391034659842 8521379546456 12782069319684 25564138639368