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82532128740 = 223510131357883
BaseRepresentation
bin100110011011101001…
…1000101011111100100
321220000210202112121220
41030313103011133210
52323011211104430
6101525325540340
75651136343065
oct1146723053744
9256023675556
1082532128740
1132002264966
1213bb3a146b0
137a23903149
143dcd19056c
152230944110
hex13374c57e4

82532128740 has 48 divisors (see below), whose sum is σ = 231318255168. Its totient is φ = 21986825344.

The previous prime is 82532128727. The next prime is 82532128741. The reversal of 82532128740 is 4782123528.

It is a super-3 number, since 3×825321287403 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82532128692 and 82532128701.

It is not an unprimeable number, because it can be changed into a prime (82532128741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618162 + ... + 739721.

It is an arithmetic number, because the mean of its divisors is an integer number (4819130316).

Almost surely, 282532128740 is an apocalyptic number.

It is an amenable number.

82532128740 is an abundant number, since it is smaller than the sum of its proper divisors (148786126428).

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

82532128740 is a wasteful number, since it uses less digits than its factorization.

82532128740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358908 (or 1358906 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 82532128740 in words is "eighty-two billion, five hundred thirty-two million, one hundred twenty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1013 2026 3039 4052 5065 6078 10130 12156 15195 20260 30390 60780 1357883 2715766 4073649 5431532 6789415 8147298 13578830 16294596 20368245 27157660 40736490 81472980 1375535479 2751070958 4126606437 5502141916 6877677395 8253212874 13755354790 16506425748 20633032185 27510709580 41266064370 82532128740