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26744085090 = 234573452293
BaseRepresentation
bin11000111010000100…
…100101101001100010
32120000211201021210000
4120322010211221202
5414232441210330
620141442320430
71634512654362
oct307204455142
976024637700
1026744085090
111038437aa68
125224659116
1326a2979b28
141419c669a2
15a67d83560
hex63a125a62

26744085090 has 80 divisors (see below), whose sum is σ = 72897128568. Its totient is φ = 7034045184.

The previous prime is 26744085029. The next prime is 26744085091. The reversal of 26744085090 is 9058044762.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19152622449 + 7591462641 = 138393^2 + 87129^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (26744085091) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167017 + ... + 285276.

Almost surely, 226744085090 is an apocalyptic number.

26744085090 is an abundant number, since it is smaller than the sum of its proper divisors (46153043478).

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

26744085090 is a wasteful number, since it uses less digits than its factorization.

26744085090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452385 (or 452376 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 26744085090 in words is "twenty-six billion, seven hundred forty-four million, eighty-five thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 81 90 135 146 162 219 270 365 405 438 657 730 810 1095 1314 1971 2190 3285 3942 5913 6570 9855 11826 19710 29565 59130 452293 904586 1356879 2261465 2713758 4070637 4522930 6784395 8141274 12211911 13568790 20353185 24423822 33017389 36635733 40706370 61059555 66034778 73271466 99052167 122119110 165086945 183178665 198104334 297156501 330173890 366357330 495260835 594313002 891469503 990521670 1485782505 1782939006 2674408509 2971565010 4457347515 5348817018 8914695030 13372042545 26744085090