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26888081052 = 22372535571549
BaseRepresentation
bin11001000010101001…
…111000111010011100
32120101212200001002210
4121002221320322130
5420031322043202
620204024520420
71641211626600
oct310251707234
976355601083
1026888081052
1110448691298
125264920110
1326c6755c41
14143102b500
15a75828c6c
hex642a78e9c

26888081052 has 144 divisors (see below), whose sum is σ = 74540541600. Its totient is φ = 7518970368.

The previous prime is 26888081047. The next prime is 26888081053. The reversal of 26888081052 is 25018088862.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 26888080992 and 26888081010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26888081053) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17357574 + ... + 17359122.

It is an arithmetic number, because the mean of its divisors is an integer number (517642650).

Almost surely, 226888081052 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 26888081052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37270270800).

26888081052 is an abundant number, since it is smaller than the sum of its proper divisors (47652460548).

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

26888081052 is a wasteful number, since it uses less digits than its factorization.

26888081052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The spelling of 26888081052 in words is "twenty-six billion, eight hundred eighty-eight million, eighty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 371 557 588 636 742 1113 1114 1484 1549 1671 2226 2228 2597 3098 3342 3899 4452 4647 5194 6196 6684 7791 7798 9294 10388 10843 11697 15582 15596 18588 21686 23394 27293 29521 31164 32529 43372 46788 54586 59042 65058 75901 81879 82097 88563 109172 118084 130116 151802 163758 164194 177126 206647 227703 246291 303604 327516 328388 354252 413294 455406 492582 574679 619941 826588 862793 910812 985164 1149358 1239882 1446529 1724037 1725586 2298716 2479764 2588379 2893058 3448074 3451172 4022753 4339587 5176758 5786116 6039551 6896148 8045506 8679174 10353516 12068259 12079102 16091012 17358348 18118653 24136518 24158204 36237306 42276857 45728029 48273036 72474612 84553714 91456058 126830571 137184087 169107428 182912116 253661142 274368174 320096203 507322284 548736348 640192406 960288609 1280384812 1920577218 2240673421 3841154436 4481346842 6722020263 8962693684 13444040526 26888081052