Search a number
-
+
2641004331255 = 3253121124673637
BaseRepresentation
bin100110011011101000001…
…000000000000011110111
3100100110220010120202102200
4212123220020000003313
5321232234102100010
65341132144235543
7361543356264243
oct46335010000367
910313803522380
102641004331255
11929053104354
12367a1700bbb3
13162079369884
1491b7a859423
1548a72abbcc0
hex266e82000f7

2641004331255 has 96 divisors (see below), whose sum is σ = 4751035680768. Its totient is φ = 1355716051200.

The previous prime is 2641004331209. The next prime is 2641004331281. The reversal of 2641004331255 is 5521334001462.

2641004331255 is a `hidden beast` number, since 2 + 64 + 10 + 0 + 4 + 331 + 255 = 666.

It is not a de Polignac number, because 2641004331255 - 28 = 2641004330999 is a prime.

It is a super-3 number, since 3×26410043312553 (a number of 38 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 726147297 + ... + 726150933.

It is an arithmetic number, because the mean of its divisors is an integer number (49489955008).

Almost surely, 22641004331255 is an apocalyptic number.

2641004331255 is a deficient number, since it is larger than the sum of its proper divisors (2110031349513).

2641004331255 is a wasteful number, since it uses less digits than its factorization.

2641004331255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6357 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 2641004331255 in words is "two trillion, six hundred forty-one billion, four million, three hundred thirty-one thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 31 45 93 155 211 279 465 633 1055 1395 1899 2467 3165 3637 6541 7401 9495 10911 12335 18185 19623 22203 32705 32733 37005 54555 58869 76477 98115 111015 112747 163665 229431 294345 338241 382385 520537 563735 688293 767407 1014723 1147155 1561611 1691205 2302221 2602685 3441465 3837035 4684833 5073615 6906663 7808055 8972479 11511105 16136647 23424165 23789617 26917437 34533315 44862395 48409941 71368851 80683235 80752311 118948085 134587185 145229823 214106553 242049705 278146849 356844255 403761555 726149115 834440547 1070532765 1390734245 1893193069 2503321641 4172202735 5679579207 9465965345 12516608205 17038737621 28397896035 58688985139 85193688105 176066955417 293444925695 528200866251 880334777085 2641004331255