Search a number
-
+
82189594624 = 21226097691
BaseRepresentation
bin100110010001011100…
…0011011000000000000
321212010221020000011011
41030202320123000000
52321311014011444
6101431332130304
75636510012254
oct1144270330000
9255127200134
1082189594624
1131946979a15
1213b19166994
13799a962237
143d998a8264
152210832734
hex1322e1b000

82189594624 has 52 divisors (see below), whose sum is σ = 164443498920. Its totient is φ = 41073704960.

The previous prime is 82189594609. The next prime is 82189594631. The reversal of 82189594624 is 42649598128.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10682619 + ... + 10690309.

Almost surely, 282189594624 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 82189594624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82221749460).

82189594624 is an abundant number, since it is smaller than the sum of its proper divisors (82253904296).

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

82189594624 is an equidigital number, since it uses as much as digits as its factorization.

82189594624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10324 (or 10302 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 58.

The spelling of 82189594624 in words is "eighty-two billion, one hundred eighty-nine million, five hundred ninety-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2609 4096 5218 7691 10436 15382 20872 30764 41744 61528 83488 123056 166976 246112 333952 492224 667904 984448 1335808 1968896 2671616 3937792 5343232 7875584 10686464 15751168 20065819 31502336 40131638 80263276 160526552 321053104 642106208 1284212416 2568424832 5136849664 10273699328 20547398656 41094797312 82189594624