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82798660242 = 2341742171413
BaseRepresentation
bin100110100011100101…
…1110100101010010010
321220201101021202010000
41031013023310222102
52324032424111432
6102012010350430
75660553666624
oct1150713645222
9256641252100
1082798660242
1132129759a31
121406912b416
137a66bb32ac
144016730c14
15224904157c
hex13472f4a92

82798660242 has 80 divisors (see below), whose sum is σ = 196913250072. Its totient is φ = 25913986560.

The previous prime is 82798660127. The next prime is 82798660267. The reversal of 82798660242 is 24206689728.

82798660242 is a `hidden beast` number, since 8 + 27 + 9 + 8 + 6 + 602 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56235853881 + 26562806361 = 237141^2 + 162981^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1123728 + ... + 1195140.

Almost surely, 282798660242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82798660242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98456625036).

82798660242 is an abundant number, since it is smaller than the sum of its proper divisors (114114589830).

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

82798660242 is a wasteful number, since it uses less digits than its factorization.

82798660242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71865 (or 71856 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 82798660242 in words is "eighty-two billion, seven hundred ninety-eight million, six hundred sixty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 421 459 842 918 1263 1377 2526 2754 3789 7157 7578 11367 14314 21471 22734 34101 42942 64413 68202 71413 128826 142826 193239 214239 386478 428478 579717 642717 1159434 1214021 1285434 1928151 2428042 3642063 3856302 5784453 7284126 10926189 11568906 21852378 30064873 32778567 60129746 65557134 90194619 98335701 180389238 196671402 270583857 511102841 541167714 811751571 1022205682 1533308523 1623503142 2435254713 3066617046 4599925569 4870509426 9199851138 13799776707 27599553414 41399330121 82798660242