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82881227881 = 232125172
BaseRepresentation
bin100110100110000011…
…0110010110001101001
321220221010122121121201
41031030012302301221
52324220043243011
6102024120204201
75662605545614
oct1151406626151
9256833577551
1082881227881
1132171324251
1214090909661
137a7b03229a
1440236a517b
152251400cc1
hex134c1b2c69

82881227881 has 9 divisors (see below), whose sum is σ = 86648357271. Its totient is φ = 79271362632.

The previous prime is 82881227879. The next prime is 82881227963. The reversal of 82881227881 is 18872218828.

It is a happy number.

The square root of 82881227881 is 287891.

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., 77771265625 + 5109962256 = 278875^2 + 71484^2 .

It is not a de Polignac number, because 82881227881 - 21 = 82881227879 is a prime.

It is a super-2 number, since 2×828812278812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82881227081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6615235 + ... + 6627751.

Almost surely, 282881227881 is an apocalyptic number.

82881227881 is the 287891-st square number.

82881227881 is the 143946-th centered octagonal number.

It is an amenable number.

82881227881 is a deficient number, since it is larger than the sum of its proper divisors (3767129390).

82881227881 is an frugal number, since it uses more digits than its factorization.

82881227881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25080 (or 12540 counting only the distinct ones).

The product of its digits is 1835008, while the sum is 55.

The spelling of 82881227881 in words is "eighty-two billion, eight hundred eighty-one million, two hundred twenty-seven thousand, eight hundred eighty-one".

Divisors: 1 23 529 12517 287891 6621493 156675289 3603531647 82881227881