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12955766745744 = 24322999512
BaseRepresentation
bin1011110010000111111111…
…0111111110101010010000
31200212120002122211101122100
42330201333313332222100
53144231402241330434
643315444100240400
72505010656215424
oct274417767765220
950776078741570
1012955766745744
114145567632119
121552ab80a0100
1372c953885ba4
1432b0c3546b84
15177021202699
hexbc87fdfea90

12955766745744 has 45 divisors (see below), whose sum is σ = 36258273648259. Its totient is φ = 4318574517600.

The previous prime is 12955766745739. The next prime is 12955766745773. The reversal of 12955766745744 is 44754766755921.

The square root of 12955766745744 is 3599412.

It is a perfect power (a square), and thus also a powerful number.

12955766745744 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 5 + 76 + 67 + 457 + 44 = 666.

It is a super-2 number, since 2×129557667457442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43042969 + ... + 43342919.

Almost surely, 212955766745744 is an apocalyptic number.

12955766745744 is the 3599412-nd square number.

It is an amenable number.

12955766745744 is an abundant number, since it is smaller than the sum of its proper divisors (23302506902515).

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

12955766745744 is an frugal number, since it uses more digits than its factorization.

12955766745744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599916 (or 299956 counting only the distinct ones).

The product of its digits is 1778112000, while the sum is 72.

The spelling of 12955766745744 in words is "twelve trillion, nine hundred fifty-five billion, seven hundred sixty-six million, seven hundred forty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 299951 599902 899853 1199804 1799706 2399608 2699559 3599412 4799216 5399118 7198824 10798236 14397648 21596472 43192944 89970602401 179941204802 269911807203 359882409604 539823614406 719764819208 809735421609 1079647228812 1439529638416 1619470843218 2159294457624 3238941686436 4318588915248 6477883372872 12955766745744