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13557182131464 = 23319232944573707
BaseRepresentation
bin1100010101001000011100…
…0001100110110100001000
31210000001110022222111022220
43011102013001212310020
53234110102111201324
644500030011214040
72566321416516426
oct305220701466410
953001408874286
1013557182131464
114357628972984
12162b580a47320
1377458a81ac2a
1434c257786116
151879c0453b79
hexc5487066d08

13557182131464 has 128 divisors (see below), whose sum is σ = 38511683712000. Its totient is φ = 3953866017024.

The previous prime is 13557182131457. The next prime is 13557182131481. The reversal of 13557182131464 is 46413128175531.

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 31 ways as a sum of consecutive naturals, for example, 21982702 + ... + 22591005.

It is an arithmetic number, because the mean of its divisors is an integer number (300872529000).

Almost surely, 213557182131464 is an apocalyptic number.

It is an amenable number.

13557182131464 is an abundant number, since it is smaller than the sum of its proper divisors (24954501580536).

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

13557182131464 is a wasteful number, since it uses less digits than its factorization.

13557182131464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44573787 (or 44573783 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The spelling of 13557182131464 in words is "thirteen trillion, five hundred fifty-seven billion, one hundred eighty-two million, one hundred thirty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 23 24 29 38 46 57 58 69 76 87 92 114 116 138 152 174 184 228 232 276 348 437 456 551 552 667 696 874 1102 1311 1334 1653 1748 2001 2204 2622 2668 3306 3496 4002 4408 5244 5336 6612 8004 10488 12673 13224 16008 25346 38019 50692 76038 101384 152076 304152 44573707 89147414 133721121 178294828 267442242 356589656 534884484 846900433 1025195261 1069768968 1292637503 1693800866 2050390522 2540701299 2585275006 3075585783 3387601732 3877912509 4100781044 5081402598 5170550012 6151171566 6775203464 7755825018 8201562088 10162805196 10341100024 12302343132 15511650036 19478709959 20325610392 24560112557 24604686264 29730662569 31023300072 38957419918 49120225114 58436129877 59461325138 73680337671 77914839836 89191987707 98240450228 116872259754 118922650276 147360675342 155829679672 178383975414 196480900456 233744519508 237845300552 294721350684 356767950828 467489039016 564882588811 589442701368 713535901656 1129765177622 1694647766433 2259530355244 3389295532866 4519060710488 6778591065732 13557182131464