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26440687872 = 283313129201
BaseRepresentation
bin11000100111111111…
…001110000100000000
32112020200211010001000
4120213333032010000
5413122304002442
620051403412000
71624140065364
oct304777160400
975220733030
1026440687872
1110239096165
12515ab24000
132654b5c951
1413cb84b2a4
15a4b402d4c
hex627fce100

26440687872 has 144 divisors (see below), whose sum is σ = 78789332160. Its totient is φ = 8745984000.

The previous prime is 26440687841. The next prime is 26440687891. The reversal of 26440687872 is 27878604462.

It is a happy number.

26440687872 is a `hidden beast` number, since 2 + 6 + 440 + 68 + 78 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890872 + ... + 920072.

It is an arithmetic number, because the mean of its divisors is an integer number (547148140).

Almost surely, 226440687872 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 26440687872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39394666080).

26440687872 is an abundant number, since it is smaller than the sum of its proper divisors (52348644288).

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

26440687872 is a wasteful number, since it uses less digits than its factorization.

26440687872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29357 (or 29337 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 26440687872 in words is "twenty-six billion, four hundred forty million, six hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 131 144 192 216 256 262 288 384 393 432 524 576 768 786 864 1048 1152 1179 1572 1728 2096 2304 2358 3144 3456 3537 4192 4716 6288 6912 7074 8384 9432 12576 14148 16768 18864 25152 28296 29201 33536 37728 50304 56592 58402 75456 87603 100608 113184 116804 150912 175206 226368 233608 262809 301824 350412 452736 467216 525618 700824 788427 905472 934432 1051236 1401648 1576854 1868864 2102472 2803296 3153708 3737728 3825331 4204944 5606592 6307416 7475456 7650662 8409888 11213184 11475993 12614832 15301324 16819776 22426368 22951986 25229664 30602648 33639552 34427979 45903972 50459328 61205296 67279104 68855958 91807944 100918656 103283937 122410592 137711916 183615888 201837312 206567874 244821184 275423832 367231776 413135748 489642368 550847664 734463552 826271496 979284736 1101695328 1468927104 1652542992 2203390656 2937854208 3305085984 4406781312 6610171968 8813562624 13220343936 26440687872