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26954713128 = 23371912296871
BaseRepresentation
bin11001000110101000…
…000100100000101000
32120120112001022010110
4121012220010200220
5420200401310003
620214405014320
71642651165320
oct310650044050
976515038113
1026954713128
1110482261a22
1252830b43a0
1327074b57c5
141439c14280
15a7b5dba03
hex646a04828

26954713128 has 128 divisors (see below), whose sum is σ = 81144576000. Its totient is φ = 7289015040.

The previous prime is 26954713111. The next prime is 26954713133. The reversal of 26954713128 is 82131745962.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3919533 + ... + 3926403.

It is an arithmetic number, because the mean of its divisors is an integer number (633942000).

Almost surely, 226954713128 is an apocalyptic number.

26954713128 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 26954713128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40572288000).

26954713128 is an abundant number, since it is smaller than the sum of its proper divisors (54189862872).

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

26954713128 is a wasteful number, since it uses less digits than its factorization.

26954713128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8135 (or 8131 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The spelling of 26954713128 in words is "twenty-six billion, nine hundred fifty-four million, seven hundred thirteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1229 1596 2458 3192 3687 4916 6871 7374 8603 9832 13742 14748 17206 20613 23351 25809 27484 29496 34412 41226 46702 48097 51618 54968 68824 70053 82452 93404 96194 103236 130549 140106 144291 163457 164904 186808 192388 206472 261098 280212 288582 326914 384776 391647 490371 522196 560424 577164 653828 783294 913843 980742 1044392 1154328 1307656 1566588 1827686 1961484 2741529 3133176 3655372 3922968 5483058 7310744 8444459 10966116 16888918 21932232 25333377 33777836 50666754 59111213 67555672 101333508 118222426 160444721 177333639 202667016 236444852 320889442 354667278 472889704 481334163 641778884 709334556 962668326 1123113047 1283557768 1418669112 1925336652 2246226094 3369339141 3850673304 4492452188 6738678282 8984904376 13477356564 26954713128