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12247741644416 = 271722247253003
BaseRepresentation
bin1011001000111010011001…
…0010100011111010000000
31121100212120011200121110022
42302032212102203322000
53101131333330110131
642014311305153012
72402604312155135
oct262164622437200
947325504617408
1012247741644416
1139a2268951083
12145983ba8b768
136aac599277a5
14304b184c258c
151638d284237b
hexb23a64a3e80

12247741644416 has 64 divisors (see below), whose sum is σ = 25836343433280. Its totient is φ = 5763361271808.

The previous prime is 12247741644409. The next prime is 12247741644461. The reversal of 12247741644416 is 61444614774221.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 48282971 + ... + 48535973.

It is an arithmetic number, because the mean of its divisors is an integer number (403692866145).

Almost surely, 212247741644416 is an apocalyptic number.

12247741644416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12247741644416 is an abundant number, since it is smaller than the sum of its proper divisors (13588601788864).

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

12247741644416 is a wasteful number, since it uses less digits than its factorization.

12247741644416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275281 (or 275269 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 53.

The spelling of 12247741644416 in words is "twelve trillion, two hundred forty-seven billion, seven hundred forty-one million, six hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 22247 44494 88988 177976 253003 355952 378199 506006 711904 756398 1012012 1423808 1512796 2024024 2847616 3025592 4048048 4301051 6051184 8096096 8602102 12102368 16192192 17204204 24204736 32384384 34408408 48409472 68816816 137633632 275267264 550534528 5628557741 11257115482 22514230964 45028461928 90056923856 95685481597 180113847712 191370963194 360227695424 382741926388 720455390848 765483852776 1530967705552 3061935411104 6123870822208 12247741644416