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82155669492 = 2231319327110069
BaseRepresentation
bin100110010000011011…
…1000000011111110100
321212001120101102121210
41030200313000133310
52321223322410432
6101424121041420
75635615445211
oct1144067003764
9255046342553
1082155669492
1131929808516
1213b09926270
1379939147b0
143d95196b08
15220c8808cc
hex1320dc07f4

82155669492 has 96 divisors (see below), whose sum is σ = 208298513920. Its totient is φ = 25052405760.

The previous prime is 82155669473. The next prime is 82155669517. The reversal of 82155669492 is 29496655128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8154234 + ... + 8164302.

Almost surely, 282155669492 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 82155669492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104149256960).

82155669492 is an abundant number, since it is smaller than the sum of its proper divisors (126142844428).

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

82155669492 is a wasteful number, since it uses less digits than its factorization.

82155669492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10553 (or 10551 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 57.

The spelling of 82155669492 in words is "eighty-two billion, one hundred fifty-five million, six hundred sixty-nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 193 271 386 542 579 772 813 1084 1158 1626 2316 2509 3252 3523 5018 7046 7527 10036 10069 10569 14092 15054 20138 21138 30108 30207 40276 42276 52303 60414 104606 120828 130897 156909 209212 261794 313818 392691 523588 627636 679939 785382 1359878 1570764 1943317 2039817 2719756 2728699 3886634 4079634 5457398 5829951 7773268 8159268 8186097 10914796 11659902 16372194 23319804 25263121 32744388 35473087 50526242 70946174 75789363 101052484 106419261 141892348 151578726 212838522 303157452 425677044 526638907 1053277814 1579916721 2106555628 3159833442 6319666884 6846305791 13692611582 20538917373 27385223164 41077834746 82155669492