Search a number
-
+
26238664663488 = 26346737520759
BaseRepresentation
bin1011111011101001010100…
…10010010110000111000000
310102220101120122200011020000
411331310222102112013000
511414343241123212423
6131445513125120000
75345452366504404
oct575645222260700
9112811518604200
1026238664663488
1183a6834186632
122b3928b859000
1311843ac1872b4
14669d5b21b104
153077db909843
hex17dd2a4961c0

26238664663488 has 140 divisors (see below), whose sum is σ = 77895203752080. Its totient is φ = 8733224521728.

The previous prime is 26238664663457. The next prime is 26238664663513. The reversal of 26238664663488 is 88436646683262.

26238664663488 is a `hidden beast` number, since 2 + 6 + 2 + 3 + 86 + 6 + 4 + 6 + 63 + 488 = 666.

It is a super-2 number, since 2×262386646634882 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 271548 + ... + 7249211.

Almost surely, 226238664663488 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 26238664663488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38947601876040).

26238664663488 is an abundant number, since it is smaller than the sum of its proper divisors (51656539088592).

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

26238664663488 is an equidigital number, since it uses as much as digits as its factorization.

26238664663488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7521456 (or 7521437 counting only the distinct ones).

The product of its digits is 2293235712, while the sum is 72.

The spelling of 26238664663488 in words is "twenty-six trillion, two hundred thirty-eight billion, six hundred sixty-four million, six hundred sixty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 673 864 1296 1346 1728 2019 2592 2692 4038 5184 5384 6057 8076 10768 12114 16152 18171 21536 24228 32304 36342 43072 48456 54513 64608 72684 96912 109026 129216 145368 193824 218052 290736 387648 436104 581472 872208 1162944 1744416 3488832 7520759 15041518 22562277 30083036 45124554 60166072 67686831 90249108 120332144 135373662 180498216 203060493 240664288 270747324 360996432 406120986 481328576 541494648 609181479 721992864 812241972 1082989296 1218362958 1443985728 1624483944 2165978592 2436725916 3248967888 4331957184 4873451832 5061470807 6497935776 9746903664 10122941614 12995871552 15184412421 19493807328 20245883228 30368824842 38987614656 40491766456 45553237263 60737649684 80983532912 91106474526 121475299368 136659711789 161967065824 182212949052 242950598736 273319423578 323934131648 364425898104 409979135367 485901197472 546638847156 728851796208 819958270734 971802394944 1093277694312 1457703592416 1639916541468 2186555388624 2915407184832 3279833082936 4373110777248 6559666165872 8746221554496 13119332331744 26238664663488