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81821998648 = 231317172126891
BaseRepresentation
bin100110000110011111…
…0001001111000111000
321211012022112012021101
41030030332021320320
52320032412424043
6101331041221144
75624424341005
oct1141476117070
9254168465241
1081821998648
1131778426695
1213a360317b4
13793c757c20
143d62b3a8ac
1521dd42024d
hex130cf89e38

81821998648 has 64 divisors (see below), whose sum is σ = 175044330720. Its totient is φ = 35520614400.

The previous prime is 81821998637. The next prime is 81821998651. The reversal of 81821998648 is 84689912818.

It is a self number, because there is not a number n which added to its sum of digits gives 81821998648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3029283 + ... + 3056173.

Almost surely, 281821998648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81821998648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87522165360).

81821998648 is an abundant number, since it is smaller than the sum of its proper divisors (93222332072).

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

81821998648 is a wasteful number, since it uses less digits than its factorization.

81821998648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28648 (or 28644 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 64.

The spelling of 81821998648 in words is "eighty-one billion, eight hundred twenty-one million, nine hundred ninety-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1721 1768 3442 6884 13768 22373 26891 29257 44746 53782 58514 89492 107564 117028 178984 215128 234056 349583 380341 457147 699166 760682 914294 1398332 1521364 1828588 2796664 3042728 3657176 5942911 11885822 23771644 46279411 47543288 92558822 185117644 370235288 601632343 786749987 1203264686 1573499974 2406529372 3146999948 4813058744 6293999896 10227749831 20455499662 40910999324 81821998648