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13848463828576 = 2513171958210383
BaseRepresentation
bin1100100110000101100011…
…0001000110011001100000
31211000220022020212211212001
43021201120301012121200
53303343123220003301
645241521345013344
72626342562220316
oct311413061063140
954026266784761
1013848463828576
11445a111891183
121677b12624254
13795b9b359520
1435c3aaa800b6
1519036c52bc01
hexc9858c46660

13848463828576 has 48 divisors (see below), whose sum is σ = 31088548056384. Its totient is φ = 6015622293504.

The previous prime is 13848463828541. The next prime is 13848463828583. The reversal of 13848463828576 is 67582836484831.

It is a super-2 number, since 2×138484638285762 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13848463828499 and 13848463828508.

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 7 ways as a sum of consecutive naturals, for example, 979098120 + ... + 979112263.

It is an arithmetic number, because the mean of its divisors is an integer number (647678084508).

Almost surely, 213848463828576 is an apocalyptic number.

13848463828576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13848463828576 is an abundant number, since it is smaller than the sum of its proper divisors (17240084227808).

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

13848463828576 is a wasteful number, since it uses less digits than its factorization.

13848463828576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958210423 (or 1958210415 counting only the distinct ones).

The product of its digits is 1486356480, while the sum is 73.

The spelling of 13848463828576 in words is "thirteen trillion, eight hundred forty-eight billion, four hundred sixty-three million, eight hundred twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 1958210383 3916420766 7832841532 15665683064 25456734979 31331366128 33289576511 50913469958 62662732256 66579153022 101826939916 133158306044 203653879832 266316612088 407307759664 432764494643 532633224176 814615519328 865528989286 1065266448352 1731057978572 3462115957144 6924231914288 13848463828576