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11642226453 = 321113371092243
BaseRepresentation
bin10101101011110111…
…00100011100010101
31010001100220101022100
422311323210130111
5142320402221303
65203125152313
7561335202114
oct126573443425
933040811270
1011642226453
114a34808060
12230ab5b699
131136cb92c0
147c62c9c7b
1548214d8a3
hex2b5ee4715

11642226453 has 96 divisors (see below), whose sum is σ = 20485745280. Its totient is φ = 6276165120.

The previous prime is 11642226451. The next prime is 11642226461. The reversal of 11642226453 is 35462224611.

11642226453 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 2 + 2 + 2 + 645 + 3 = 666.

It is not a de Polignac number, because 11642226453 - 21 = 11642226451 is a prime.

It is a super-2 number, since 2×116422264532 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11642226451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5189350 + ... + 5191592.

It is an arithmetic number, because the mean of its divisors is an integer number (213393180).

Almost surely, 211642226453 is an apocalyptic number.

11642226453 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11642226453 is a deficient number, since it is larger than the sum of its proper divisors (8843518827).

11642226453 is a wasteful number, since it uses less digits than its factorization.

11642226453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2416 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 11642226453 in words is "eleven billion, six hundred forty-two million, two hundred twenty-six thousand, four hundred fifty-three".

Divisors: 1 3 9 11 13 33 37 39 99 109 111 117 143 327 333 407 429 481 981 1199 1221 1287 1417 1443 2243 3597 3663 4033 4251 4329 5291 6729 10791 12099 12753 15587 15873 20187 24673 29159 36297 44363 46761 47619 52429 74019 82991 87477 133089 140283 157287 222057 244487 248973 262431 320749 399267 471861 576719 733461 746919 912901 962247 1078883 1730157 2200383 2689357 2738703 2886741 3178331 3236649 5190471 8068071 8216109 9046019 9534993 9709947 11867713 24204213 27138057 28604979 34961641 35603139 81414171 99506209 104884923 106809417 117598247 298518627 314654769 352794741 895555881 1058384223 1293580717 3880742151 11642226453