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10083433052 = 2273112923039
BaseRepresentation
bin10010110010000010…
…01111101001011100
3222000201202110202102
421121001033221130
5131122324324202
64344322544232
7504606524000
oct113101175134
928021673672
1010083433052
114304920550
121b54b08078
13c49080344
146b9280700
153e038dd02
hex25904fa5c

10083433052 has 96 divisors (see below), whose sum is σ = 23224320000. Its totient is φ = 3792976320.

The previous prime is 10083433039. The next prime is 10083433069. The reversal of 10083433052 is 25033438001.

It is a super-2 number, since 2×100834330522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426149 + ... + 449187.

It is an arithmetic number, because the mean of its divisors is an integer number (241920000).

Almost surely, 210083433052 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 10083433052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160000).

10083433052 is an abundant number, since it is smaller than the sum of its proper divisors (13140886948).

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

10083433052 is a wasteful number, since it uses less digits than its factorization.

10083433052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23104 (or 23088 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 10083433052 in words is "ten billion, eighty-three million, four hundred thirty-three thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 29 44 49 58 77 98 116 154 196 203 308 319 343 406 539 638 686 812 1078 1276 1372 1421 2156 2233 2842 3773 4466 5684 7546 8932 9947 15092 15631 19894 23039 31262 39788 46078 62524 92156 109417 161273 218834 253429 322546 437668 506858 645092 668131 1013716 1128911 1336262 1774003 2257822 2672524 3548006 4515644 4676917 7096012 7349441 7902377 9353834 12418021 14698882 15804754 18707668 24836042 29397764 31609508 32738419 49672084 51446087 65476838 86926147 102892174 130953676 173852294 205784348 229168933 347704588 360122609 458337866 720245218 916675732 1440490436 2520858263 5041716526 10083433052