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54451308666769 = 72232458332
BaseRepresentation
bin11000110000101111011101…
…11010010001111110010001
321010210111100022201200000021
430120113232322101332101
524114112240004314034
6311450330314223441
714316656121666100
oct1430275672217621
9233714308650007
1054451308666769
1116393741221893
126135041124b81
13244c975a7a4a1
14d63659176037
1564660bc0b6b4
hex3185eee91f91

54451308666769 has 27 divisors (see below), whose sum is σ = 66216471178683. Its totient is φ = 44642334926112.

The previous prime is 54451308666757. The next prime is 54451308666779. The reversal of 54451308666769 is 96766680315445.

The square root of 54451308666769 is 7379113.

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., 34694279334225 + 19757029332544 = 5890185^2 + 4444888^2 .

It is not a de Polignac number, because 54451308666769 - 27 = 54451308666641 is a prime.

It is a super-2 number, since 2×544513086667692 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 54451308666698 and 54451308666707.

It is not an unprimeable number, because it can be changed into a prime (54451308666779) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1188014277 + ... + 1188060109.

Almost surely, 254451308666769 is an apocalyptic number.

54451308666769 is the 7379113-rd square number.

54451308666769 is the 3689557-th centered octagonal number.

It is an amenable number.

54451308666769 is a deficient number, since it is larger than the sum of its proper divisors (11765162511914).

54451308666769 is an frugal number, since it uses more digits than its factorization.

54451308666769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91726 (or 45863 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 70.

The spelling of 54451308666769 in words is "fifty-four trillion, four hundred fifty-one billion, three hundred eight million, six hundred sixty-six thousand, seven hundred sixty-nine".

Divisors: 1 7 23 49 161 529 1127 3703 25921 45833 320831 1054159 2245817 7379113 24245657 51653791 169719599 1188037193 2100663889 14704647223 48315269447 102932530561 338206886129 1111251197281 2367448202903 7778758380967 54451308666769