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81296123291448 = 233131496271741427
BaseRepresentation
bin10010011111000000111010…
…100011001110011100111000
3101122211211111121111021110220
4102133000322203032130320
541123423430030311243
6444522531244540040
723060310502245522
oct2237007243163470
9348754447437426
1081296123291448
11239a354623786a
12914b897251620
133649264a45070
141610a79320a12
1595ea7333e783
hex49f03a8ce738

81296123291448 has 64 divisors (see below), whose sum is σ = 218875766578560. Its totient is φ = 25014010240896.

The previous prime is 81296123291389. The next prime is 81296123291521. The reversal of 81296123291448 is 84419232169218.

It is a junction number, because it is equal to n+sod(n) for n = 81296123291391 and 81296123291400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45812911 + ... + 47554337.

It is an arithmetic number, because the mean of its divisors is an integer number (3419933852790).

Almost surely, 281296123291448 is an apocalyptic number.

It is an amenable number.

81296123291448 is an abundant number, since it is smaller than the sum of its proper divisors (137579643287112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81296123291448 is a wasteful number, since it uses less digits than its factorization.

81296123291448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891076 (or 1891072 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 60.

The spelling of 81296123291448 in words is "eighty-one trillion, two hundred ninety-six billion, one hundred twenty-three million, two hundred ninety-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 149627 299254 448881 598508 897762 1197016 1741427 1795524 1945151 3482854 3591048 3890302 5224281 5835453 6965708 7780604 10448562 11670906 13931416 15561208 20897124 22638551 23341812 41794248 45277102 46683624 67915653 90554204 135831306 181108408 271662612 543325224 260564497729 521128995458 781693493187 1042257990916 1563386986374 2084515981832 3126773972748 3387338470477 6253547945496 6774676940954 10162015411431 13549353881908 20324030822862 27098707763816 40648061645724 81296123291448