Search a number
-
+
83449849252 = 227211103937253
BaseRepresentation
bin100110110110111111…
…1111010010110100100
321222101202121120111111
41031231333322112210
52331401130134002
6102200351514404
76012652005100
oct1155577722644
9258352546444
1083449849252
113243329a970
121420b228a04
137b3ba92533
144079000900
1522862c13d7
hex136dffa5a4

83449849252 has 72 divisors (see below), whose sum is σ = 185507038080. Its totient is φ = 32480763840.

The previous prime is 83449849201. The next prime is 83449849277. The reversal of 83449849252 is 25294894438.

It is an unprimeable number.

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, 2221458 + ... + 2258710.

It is an arithmetic number, because the mean of its divisors is an integer number (2576486640).

Almost surely, 283449849252 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 83449849252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92753519040).

83449849252 is an abundant number, since it is smaller than the sum of its proper divisors (102057188828).

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

83449849252 is a wasteful number, since it uses less digits than its factorization.

83449849252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38321 (or 38312 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 58.

The spelling of 83449849252 in words is "eighty-three billion, four hundred forty-nine million, eight hundred forty-nine thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1039 1078 2078 2156 4156 7273 11429 14546 22858 29092 37253 45716 50911 74506 80003 101822 149012 160006 203644 260771 320012 409783 521542 560021 819566 1043084 1120042 1639132 1825397 2240084 2868481 3650794 5736962 7301588 11473924 20079367 38705867 40158734 77411734 80317468 154823468 270941069 425764537 541882138 851529074 1083764276 1703058148 1896587483 2980351759 3793174966 5960703518 7586349932 11921407036 20862462313 41724924626 83449849252