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13264262306055 = 32523109722035303
BaseRepresentation
bin1100000100000101001110…
…1001001001100100000111
31201222001101020122121020100
43001001103221021210013
53214310202122243210
644113303514535143
72536211533214355
oct301012351114407
951861336577210
1013264262306055
114254384300642
1215a28527374b3
13752a787b6c57
1433bdcaab07d5
151800796495c0
hexc1053a49907

13264262306055 has 96 divisors (see below), whose sum is σ = 24028313527296. Its totient is φ = 6756184714752.

The previous prime is 13264262306051. The next prime is 13264262306059. The reversal of 13264262306055 is 55060326246231.

13264262306055 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 4 + 2 + 6 + 2 + 30 + 605 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (13264262306051) and next prime (13264262306059).

It is not a de Polignac number, because 13264262306055 - 22 = 13264262306051 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13264262306055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13264262306051) by changing a digit.

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, 2501272534 + ... + 2501277836.

It is an arithmetic number, because the mean of its divisors is an integer number (250294932576).

Almost surely, 213264262306055 is an apocalyptic number.

13264262306055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13264262306055 is a deficient number, since it is larger than the sum of its proper divisors (10764051221241).

13264262306055 is a wasteful number, since it uses less digits than its factorization.

13264262306055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8637 (or 8634 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 13264262306055 in words is "thirteen trillion, two hundred sixty-four billion, two hundred sixty-two million, three hundred six thousand, fifty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 1097 2203 3291 5303 5485 6609 9873 11015 15909 16455 19827 25231 26515 33045 47727 49365 50669 75693 79545 99135 121969 126155 152007 227079 238635 253345 365907 378465 456021 609845 760035 1097721 1135395 1829535 2280105 2416691 5488605 5817391 7250073 11682509 12083455 17452173 21750219 29086955 35047527 36250365 52356519 55583893 58412545 87260865 105142581 108751095 133799993 166751679 175237635 261782595 268697707 277919465 401399979 500255037 525712905 668999965 806093121 833758395 1204199937 1343488535 2006999895 2418279363 2501275185 4030465605 6020999685 12091396815 12815712373 38447137119 64078561865 115341411357 192235685595 294761384579 576707056785 884284153737 1473806922895 2652852461211 4421420768685 13264262306055