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51343135000 = 235434929423
BaseRepresentation
bin101111110100010010…
…100001000100011000
311220112012011111110121
4233310102201010120
51320122320310000
635330421323024
73465221306143
oct576422410430
9156465144417
1051343135000
111a857952283
129b4a866474
134ac30cb471
1426b0c7d05a
151507755b1a
hexbf44a1118

51343135000 has 80 divisors (see below), whose sum is σ = 120645756000. Its totient is φ = 20477712000.

The previous prime is 51343134961. The next prime is 51343135001. The reversal of 51343135000 is 53134315.

It is a super-2 number, since 2×513431350002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51343135001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1730289 + ... + 1759711.

It is an arithmetic number, because the mean of its divisors is an integer number (1508071950).

Almost surely, 251343135000 is an apocalyptic number.

51343135000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51343135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60322878000).

51343135000 is an abundant number, since it is smaller than the sum of its proper divisors (69302621000).

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

51343135000 is a wasteful number, since it uses less digits than its factorization.

51343135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29798 (or 29779 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 51343135000 its reverse (53134315), we get a palindrome (51396269315).

The spelling of 51343135000 in words is "fifty-one billion, three hundred forty-three million, one hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 349 500 625 698 1000 1250 1396 1745 2500 2792 3490 5000 6980 8725 13960 17450 29423 34900 43625 58846 69800 87250 117692 147115 174500 218125 235384 294230 349000 436250 588460 735575 872500 1176920 1471150 1745000 2942300 3677875 5884600 7355750 10268627 14711500 18389375 20537254 29423000 36778750 41074508 51343135 73557500 82149016 102686270 147115000 205372540 256715675 410745080 513431350 1026862700 1283578375 2053725400 2567156750 5134313500 6417891875 10268627000 12835783750 25671567500 51343135000