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26290137968 = 24171910747543
BaseRepresentation
bin11000011111000000…
…111010101101110000
32111212012112101101122
4120133000322231300
5412320233403333
620024424521412
71620331325363
oct303700725560
974765471348
1026290137968
1110171108856
125118620268
13262c8ca673
1413b585c0da
15a3d0b5798
hex61f03ab70

26290137968 has 80 divisors (see below), whose sum is σ = 57303832320. Its totient is φ = 11610897408.

The previous prime is 26290137959. The next prime is 26290137983. The reversal of 26290137968 is 86973109262.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 529205 + ... + 576747.

It is an arithmetic number, because the mean of its divisors is an integer number (716297904).

Almost surely, 226290137968 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 26290137968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28651916160).

26290137968 is an abundant number, since it is smaller than the sum of its proper divisors (31013694352).

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

26290137968 is a wasteful number, since it uses less digits than its factorization.

26290137968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47694 (or 47688 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The spelling of 26290137968 in words is "twenty-six billion, two hundred ninety million, one hundred thirty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 107 136 152 214 272 304 323 428 646 856 1292 1712 1819 2033 2584 3638 4066 5168 7276 8132 14552 16264 29104 32528 34561 47543 69122 95086 138244 190172 276488 380344 552976 760688 808231 903317 1616462 1806634 3232924 3613268 5087101 6465848 7226536 10174202 12931696 14453072 15356389 20348404 30712778 40696808 61425556 81393616 86480717 96654919 122851112 172961434 193309838 245702224 345922868 386619676 691845736 773239352 1383691472 1546478704 1643133623 3286267246 6572534492 13145068984 26290137968