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2278768374481 = 232656332
BaseRepresentation
bin100001001010010001001…
…011011111001011010001
322001211220021201112212111
4201022101023133023101
5244313404200440411
64502503550425321
7323431001406514
oct41122113371321
98054807645774
102278768374481
117a9469381635
12309782b02241
13136b6b7a0051
147c415d06d7b
153e421739721
hex212912df2d1

2278768374481 has 9 divisors (see below), whose sum is σ = 2382189246619. Its totient is φ = 2179658278336.

The previous prime is 2278768374479. The next prime is 2278768374497. The reversal of 2278768374481 is 1844738678722.

The square root of 2278768374481 is 1509559.

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., 1681832891025 + 596935483456 = 1296855^2 + 772616^2 .

It is not a de Polignac number, because 2278768374481 - 21 = 2278768374479 is a prime.

It is a super-2 number, since 2×22787683744812 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2278768374581) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 34687041 + ... + 34752673.

Almost surely, 22278768374481 is an apocalyptic number.

2278768374481 is the 1509559-th square number.

2278768374481 is the 754780-th centered octagonal number.

It is an amenable number.

2278768374481 is a deficient number, since it is larger than the sum of its proper divisors (103420872138).

2278768374481 is an frugal number, since it uses more digits than its factorization.

2278768374481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131312 (or 65656 counting only the distinct ones).

The product of its digits is 202309632, while the sum is 67.

The spelling of 2278768374481 in words is "two trillion, two hundred seventy-eight billion, seven hundred sixty-eight million, three hundred seventy-four thousand, four hundred eighty-one".

Divisors: 1 23 529 65633 1509559 34719857 4307690689 99076885847 2278768374481