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81833577460 = 225211110317581
BaseRepresentation
bin100110000110110101…
…0010100101111110100
321211020010022110102021
41030031222110233310
52320043343434320
6101332133322524
75624624634325
oct1141552245764
9254203273367
1081833577460
1131783a14a58
1213a39a96444
137941c802ab
143d644b244c
1521de45adaa
hex130da94bf4

81833577460 has 48 divisors (see below), whose sum is σ = 172831341312. Its totient is φ = 32546908800.

The previous prime is 81833577457. The next prime is 81833577473. The reversal of 81833577460 is 6477533818.

It is a junction number, because it is equal to n+sod(n) for n = 81833577398 and 81833577407.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4645870 + ... + 4663450.

It is an arithmetic number, because the mean of its divisors is an integer number (3600652944).

Almost surely, 281833577460 is an apocalyptic number.

It is an amenable number.

81833577460 is an abundant number, since it is smaller than the sum of its proper divisors (90997763852).

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

81833577460 is a wasteful number, since it uses less digits than its factorization.

81833577460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18904 (or 18902 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 81833577460 in words is "eighty-one billion, eight hundred thirty-three million, five hundred seventy-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 211 422 844 1055 1103 2110 2206 4220 4412 5515 11030 17581 22060 35162 70324 87905 175810 232733 351620 465466 930932 1163665 2327330 3709591 4654660 7419182 14838364 18547955 19391843 37095910 38783686 74191820 77567372 96959215 193918430 387836860 4091678873 8183357746 16366715492 20458394365 40916788730 81833577460