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52103430126 = 232111138592711
BaseRepresentation
bin110000100001100110…
…110011111111101110
311222111011210111022100
4300201212303333232
51323201434231001
635534101155530
73523112564046
oct604146637756
9158434714270
1052103430126
1120108034260
12a1213bbba6
134bb478bc37
142743c30726
15154e388586
hexc219b3fee

52103430126 has 96 divisors (see below), whose sum is σ = 124433936640. Its totient is φ = 15625209600.

The previous prime is 52103430097. The next prime is 52103430139. The reversal of 52103430126 is 62103430125.

52103430126 is a `hidden beast` number, since 5 + 2 + 103 + 430 + 126 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 52103430126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19217911 + ... + 19220621.

It is an arithmetic number, because the mean of its divisors is an integer number (1296186840).

Almost surely, 252103430126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52103430126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62216968320).

52103430126 is an abundant number, since it is smaller than the sum of its proper divisors (72330506514).

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

52103430126 is a wasteful number, since it uses less digits than its factorization.

52103430126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Subtracting 52103430126 from its reverse (62103430125), we obtain a palindrome (9999999999).

The spelling of 52103430126 in words is "fifty-two billion, one hundred three million, four hundred thirty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 113 198 226 339 678 859 1017 1243 1718 2034 2486 2577 2711 3729 5154 5422 7458 7731 8133 9449 11187 15462 16266 18898 22374 24399 28347 29821 48798 56694 59642 85041 89463 97067 170082 178926 194134 268389 291201 306343 536778 582402 612686 873603 919029 1067737 1747206 1838058 2135474 2328749 2757087 3203211 3369773 4657498 5514174 6406422 6739546 6986247 9609633 10109319 13972494 19219266 20218638 20958741 25616239 30327957 41917482 51232478 60655914 76848717 153697434 230546151 263148637 461092302 526297274 789445911 1578891822 2368337733 2894635007 4736675466 5789270014 8683905021 17367810042 26051715063 52103430126