Search a number
-
+
51320312544 = 25322710692203
BaseRepresentation
bin101111110010111011…
…011101001011100000
311220110121012222221110
4233302323131023200
51320101000000134
635324244223320
73464523313314
oct576273351340
9156417188843
1051320312544
111a845a84446
129b4309ab40
134abb46a457
1426abc1bb44
1515057487e9
hexbf2edd2e0

51320312544 has 96 divisors (see below), whose sum is σ = 135497335680. Its totient is φ = 17007754752.

The previous prime is 51320312531. The next prime is 51320312569. The reversal of 51320312544 is 44521302315.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×513203125443 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23294547 + ... + 23296749.

It is an arithmetic number, because the mean of its divisors is an integer number (1411430580).

Almost surely, 251320312544 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 51320312544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67748667840).

51320312544 is an abundant number, since it is smaller than the sum of its proper divisors (84177023136).

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

51320312544 is a wasteful number, since it uses less digits than its factorization.

51320312544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 51320312544 its reverse (44521302315), we get a palindrome (95841614859).

The spelling of 51320312544 in words is "fifty-one billion, three hundred twenty million, three hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 454 681 908 1069 1362 1816 2138 2203 2724 3207 3632 4276 4406 5448 6414 6609 7264 8552 8812 10896 12828 13218 17104 17624 21792 25656 26436 34208 35248 51312 52872 70496 102624 105744 211488 242663 485326 500081 727989 970652 1000162 1455978 1500243 1941304 2000324 2355007 2911956 3000486 3882608 4000648 4710014 5823912 6000972 7065021 7765216 8001296 9420028 11647824 12001944 14130042 16002592 18840056 23295648 24003888 28260084 37680112 48007776 56520168 75360224 113040336 226080672 534586589 1069173178 1603759767 2138346356 3207519534 4276692712 6415039068 8553385424 12830078136 17106770848 25660156272 51320312544