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8978167256881 = 2632113932
BaseRepresentation
bin1000001010100110010001…
…1110000101011100110001
31011210022012220122120011211
42002221210132011130301
52134044241304210011
631032302455040121
71614436232342044
oct202514436053461
934708186576154
108978167256881
11295168a3a1079
121010042070041
1350183989c594
1423078d242c5b
15108821adab21
hex82a64785731

8978167256881 has 9 divisors (see below), whose sum is σ = 9013225695019. Its totient is φ = 8943244692736.

The previous prime is 8978167256843. The next prime is 8978167256897. The reversal of 8978167256881 is 1886527618798.

The square root of 8978167256881 is 2996359.

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., 6676926800625 + 2301240456256 = 2583975^2 + 1516984^2 .

It is not a de Polignac number, because 8978167256881 - 239 = 8428411442993 is a prime.

It is a super-3 number, since 3×89781672568813 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8978167256798 and 8978167256807.

It is not an unprimeable number, because it can be changed into a prime (8978167256381) 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, 788036721 + ... + 788048113.

Almost surely, 28978167256881 is an apocalyptic number.

8978167256881 is the 2996359-th square number.

8978167256881 is the 1498180-th centered octagonal number.

It is an amenable number.

8978167256881 is a deficient number, since it is larger than the sum of its proper divisors (35058438138).

8978167256881 is an frugal number, since it uses more digits than its factorization.

8978167256881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23312 (or 11656 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 76.

The spelling of 8978167256881 in words is "eight trillion, nine hundred seventy-eight billion, one hundred sixty-seven million, two hundred fifty-six thousand, eight hundred eighty-one".

Divisors: 1 263 11393 69169 2996359 129800449 788042417 34137518087 8978167256881