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54986496122944 = 26797211632
BaseRepresentation
bin11001000000010100010101…
…00100011010000001000000
321012200122202110100100201101
430200022022210122001000
524201344321001413234
6312540240402544144
714403433430213311
oct1440121244320100
9235618673310641
1054986496122944
111657a707625981
126200902368054
13248b286c03839
14d81509740608
156554d1a9c814
hex32028a91a040

54986496122944 has 63 divisors (see below), whose sum is σ = 109344925344637. Its totient is φ = 27435141864704.

The previous prime is 54986496122893. The next prime is 54986496123007. The reversal of 54986496122944 is 44922169468945.

The square root of 54986496122944 is 7415288.

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

It can be written as a sum of positive squares in only one way, i.e., 26664004238400 + 28322491884544 = 5163720^2 + 5321888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47279875707 + ... + 47279876869.

Almost surely, 254986496122944 is an apocalyptic number.

54986496122944 is the 7415288-th square number.

It is an amenable number.

54986496122944 is a deficient number, since it is larger than the sum of its proper divisors (54358429221693).

54986496122944 is an frugal number, since it uses more digits than its factorization.

54986496122944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 1962 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 73.

The spelling of 54986496122944 in words is "fifty-four trillion, nine hundred eighty-six billion, four hundred ninety-six million, one hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 797 1163 1594 2326 3188 4652 6376 9304 12752 18608 25504 37216 51008 74432 635209 926911 1270418 1352569 1853822 2540836 2705138 3707644 5081672 5410276 7415288 10163344 10820552 14830576 20326688 21641104 29661152 40653376 43282208 59322304 86564416 738748067 1077997493 1477496134 2155994986 2954992268 4311989972 5909984536 8623979944 11819969072 17247959888 23639938144 34495919776 47279876288 68991839552 859164001921 1718328003842 3436656007684 6873312015368 13746624030736 27493248061472 54986496122944