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26226976128 = 273313137039
BaseRepresentation
bin11000011011001111…
…111110010110000000
32111200210200102122020
4120123033332112000
5412203101214003
620014251041440
71615633422153
oct303317762600
974623612566
1026226976128
1110139498391
1250bb440280
13261c7b44b2
1413ab2d9c9a
15a3778ad53
hex61b3fe580

26226976128 has 128 divisors (see below), whose sum is σ = 72152678400. Its totient is φ = 8432087040.

The previous prime is 26226976103. The next prime is 26226976129. The reversal of 26226976128 is 82167962262.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26226976129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3722433 + ... + 3729471.

It is an arithmetic number, because the mean of its divisors is an integer number (563692800).

Almost surely, 226226976128 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 26226976128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36076339200).

26226976128 is an abundant number, since it is smaller than the sum of its proper divisors (45925702272).

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

26226976128 is a wasteful number, since it uses less digits than its factorization.

26226976128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7400 (or 7388 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 26226976128 in words is "twenty-six billion, two hundred twenty-six million, nine hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 313 372 384 496 626 744 939 992 1252 1488 1878 1984 2504 2976 3756 3968 5008 5952 7039 7512 9703 10016 11904 14078 15024 19406 20032 21117 28156 29109 30048 38812 40064 42234 56312 58218 60096 77624 84468 112624 116436 120192 155248 168936 218209 225248 232872 310496 337872 436418 450496 465744 620992 654627 675744 872836 900992 931488 1241984 1309254 1351488 1745672 1862976 2203207 2618508 2702976 3491344 3725952 4406414 5237016 6609621 6982688 8812828 10474032 13219242 13965376 17625656 20948064 26438484 27930752 35251312 41896128 52876968 68299417 70502624 83792256 105753936 136598834 141005248 204898251 211507872 273197668 282010496 409796502 423015744 546395336 819593004 846031488 1092790672 1639186008 2185581344 3278372016 4371162688 6556744032 8742325376 13113488064 26226976128