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83050052500 = 2254174119081
BaseRepresentation
bin100110101011000101…
…0110011101110010100
321221100220022210110101
41031112022303232110
52330041303140000
6102052550503444
76000025540642
oct1152612635624
9257326283411
1083050052500
1132248653728
1214119364b84
137aa6cc25cc
14403bc90192
15226114ce6a
hex13562b3b94

83050052500 has 60 divisors (see below), whose sum is σ = 181727694148. Its totient is φ = 33199200000.

The previous prime is 83050052461. The next prime is 83050052513. The reversal of 83050052500 is 525005038.

It can be written as a sum of positive squares in 10 ways, for example, as 82795458564 + 254593936 = 287742^2 + 15956^2 .

It is a super-2 number, since 2×830500525002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4342960 + ... + 4362040.

Almost surely, 283050052500 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 83050052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90863847074).

83050052500 is an abundant number, since it is smaller than the sum of its proper divisors (98677641648).

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

83050052500 is a wasteful number, since it uses less digits than its factorization.

83050052500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20846 (or 20829 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 83050052500 its reverse (525005038), we get a palindrome (83575057538).

The spelling of 83050052500 in words is "eighty-three billion, fifty million, fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 1741 2500 3482 6964 8705 17410 19081 34820 38162 43525 76324 87050 95405 174100 190810 217625 381620 435250 477025 870500 954050 1088125 1908100 2176250 2385125 4352500 4770250 9540500 11925625 23851250 33220021 47702500 66440042 132880084 166100105 332200210 664400420 830500525 1661001050 3322002100 4152502625 8305005250 16610010500 20762513125 41525026250 83050052500