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12858026184416 = 257731753448561
BaseRepresentation
bin1011101100011011111000…
…0101010100111011100000
31200112012210221201102120102
42323012332011110323200
53141131214200400131
643202521245001532
72464650606154610
oct273067605247340
950465727642512
1012858026184416
114108070633806
121537b7ab532a8
137236781b940a
143264905d6a40
151747005261cb
hexbb1be154ee0

12858026184416 has 96 divisors (see below), whose sum is σ = 29343662889408. Its totient is φ = 5431982653440.

The previous prime is 12858026184371. The next prime is 12858026184449. The reversal of 12858026184416 is 61448162085821.

It is a super-2 number, since 2×128580261844162 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28440776 + ... + 28889336.

It is an arithmetic number, because the mean of its divisors is an integer number (305663155098).

Almost surely, 212858026184416 is an apocalyptic number.

12858026184416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12858026184416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14671831444704).

12858026184416 is an abundant number, since it is smaller than the sum of its proper divisors (16485636704992).

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

12858026184416 is a wasteful number, since it uses less digits than its factorization.

12858026184416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450404 (or 450396 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 56.

The spelling of 12858026184416 in words is "twelve trillion, eight hundred fifty-eight billion, twenty-six million, one hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 1753 2044 2336 3506 4088 7012 8176 12271 14024 16352 24542 28048 49084 56096 98168 127969 196336 255938 392672 448561 511876 895783 897122 1023752 1791566 1794244 2047504 3139927 3583132 3588488 4095008 6279854 7166264 7176976 12559708 14332528 14353952 25119416 28665056 32744953 50238832 65489906 100477664 130979812 229214671 261959624 458429342 523919248 786327433 916858684 1047838496 1572654866 1833717368 3145309732 3667434736 5504292031 6290619464 7334869472 11008584062 12581238928 22017168124 25162477856 44034336248 57401902609 88068672496 114803805218 176137344992 229607610436 401813318263 459215220872 803626636526 918430441744 1607253273052 1836860883488 3214506546104 6429013092208 12858026184416