Search a number
-
+
82343122134328 = 23112932266113689
BaseRepresentation
bin10010101110010000000000…
…100010110110010100111000
3101210112220222202112021222101
4102232100000202312110320
541243102203231244303
6451043524051433144
723226044220465226
oct2256200042662470
9353486882467871
1082343122134328
1124267581844a70
12929a794bb57b4
1336c3c000824b3
1416495dd66db16
1597be00c28d1d
hex4ae4008b6538

82343122134328 has 32 divisors (see below), whose sum is σ = 174237013926000. Its totient is φ = 36138047330560.

The previous prime is 82343122134319. The next prime is 82343122134341.

82343122134328 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16133054293 + ... + 16133059396.

Almost surely, 282343122134328 is an apocalyptic number.

82343122134328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82343122134328 is an abundant number, since it is smaller than the sum of its proper divisors (91893891791672).

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

82343122134328 is a wasteful number, since it uses less digits than its factorization.

82343122134328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32266113735 (or 32266113731 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 46.

The spelling of 82343122134328 in words is "eighty-two trillion, three hundred forty-three billion, one hundred twenty-two million, one hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 1276 2552 32266113689 64532227378 129064454756 258128909512 354927250579 709854501158 935717296981 1419709002316 1871434593962 2839418004632 3742869187924 7485738375848 10292890266791 20585780533582 41171561067164 82343122134328