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26005600664056 = 23131943617496051
BaseRepresentation
bin1011110100110111001101…
…00101101111100111111000
310102002010000000122021022001
411322123212211233213320
511402033432232222211
6131150450310510344
75322562012263526
oct572334645574770
9112063000567261
1026005600664056
118316a05679272
122b000870653b4
131168418a71320
1465c96bbc9316
153016ea874ac1
hex17a6e696f9f8

26005600664056 has 128 divisors (see below), whose sum is σ = 56652313132800. Its totient is φ = 11088408038400.

The previous prime is 26005600663901. The next prime is 26005600664081. The reversal of 26005600664056 is 65046600650062.

It is a super-2 number, since 2×260056006640562 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26005600663997 and 26005600664015.

It is a congruent number.

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, 52177231 + ... + 52673281.

It is an arithmetic number, because the mean of its divisors is an integer number (442596196350).

Almost surely, 226005600664056 is an apocalyptic number.

26005600664056 is a gapful number since it is divisible by the number (26) 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 26005600664056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28326156566400).

26005600664056 is an abundant number, since it is smaller than the sum of its proper divisors (30646712468744).

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

26005600664056 is a wasteful number, since it uses less digits than its factorization.

26005600664056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496749 (or 496745 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 26005600664056 in words is "twenty-six trillion, five billion, six hundred million, six hundred sixty-four thousand, fifty-six".

Divisors: 1 2 4 8 13 19 26 38 43 52 76 86 104 152 172 247 344 494 559 617 817 988 1118 1234 1634 1976 2236 2468 3268 4472 4936 6536 8021 10621 11723 16042 21242 23446 26531 32084 42484 46892 53062 64168 84968 93784 106124 152399 212248 304798 344903 496051 504089 609596 689806 992102 1008178 1219192 1379612 1984204 2016356 2759224 3968408 4032712 6448663 6553157 9424969 12897326 13106314 18849938 21330193 25794652 26212628 37699876 42660386 51589304 52425256 75399752 85320772 122524597 170641544 245049194 277292509 306063467 405273667 490098388 554585018 612126934 810547334 980196776 1109170036 1224253868 1621094668 2218340072 2448507736 3242189336 3978825071 5268557671 5815205873 7957650142 10537115342 11630411746 13160729081 15915300284 21074230684 23260823492 26321458162 31830600568 42148461368 46521646984 52642916324 75597676349 105285832648 151195352698 171089478053 250053852539 302390705396 342178956106 500107705078 604781410792 684357912212 1000215410156 1368715824424 2000430820312 3250700083007 6501400166014 13002800332028 26005600664056