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83020655602038 = 23711216336217159
BaseRepresentation
bin10010111000000111000000…
…101011111010100101110110
3101212221200211020021121020210
4102320013000223322211312
541340202300313231123
6452323055045210250
723326021145106510
oct2270070053724566
9355850736247223
1083020655602038
11244a895381a400
129389b61700986
133742a77b3283b
141670314c70bb0
1598e85774ae93
hex4b81c0afa976

83020655602038 has 48 divisors (see below), whose sum is σ = 208580820698880. Its totient is φ = 21563806648560.

The previous prime is 83020655602037. The next prime is 83020655602127.

83020655602038 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83020655602037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8168103498 + ... + 8168113661.

It is an arithmetic number, because the mean of its divisors is an integer number (4345433764560).

Almost surely, 283020655602038 is an apocalyptic number.

83020655602038 is an abundant number, since it is smaller than the sum of its proper divisors (125560165096842).

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

83020655602038 is a wasteful number, since it uses less digits than its factorization.

83020655602038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16336217193 (or 16336217182 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 83020655602038 in words is "eighty-three trillion, twenty billion, six hundred fifty-five million, six hundred two thousand, thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 5082 16336217159 32672434318 49008651477 98017302954 114353520113 179698388749 228707040226 343060560339 359396777498 539095166247 686121120678 1078190332494 1257888721243 1976682276239 2515777442486 3773666163729 3953364552478 5930046828717 7547332327458 11860093657434 13836775933673 27673551867346 41510327801019 83020655602038