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51435040544 = 254144987313
BaseRepresentation
bin101111111001110001…
…000110111100100000
311220202121002210011122
4233321301012330200
51320314332244134
635343503231412
73500415426266
oct577161067440
9156677083148
1051435040544
111a8a4815278
129b755a8568
134b09169844
1426bd164436
15151085c02e
hexbf9c46f20

51435040544 has 48 divisors (see below), whose sum is σ = 103964779800. Its totient is φ = 25034096640.

The previous prime is 51435040537. The next prime is 51435040609. The reversal of 51435040544 is 44504053415.

It can be written as a sum of positive squares in 4 ways, for example, as 20181043600 + 31253996944 = 142060^2 + 176788^2 .

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 7 ways as a sum of consecutive naturals, for example, 545432 + ... + 632744.

Almost surely, 251435040544 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 51435040544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51982389900).

51435040544 is an abundant number, since it is smaller than the sum of its proper divisors (52529739256).

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

51435040544 is a wasteful number, since it uses less digits than its factorization.

51435040544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87813 (or 87805 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

Adding to 51435040544 its reverse (44504053415), we get a palindrome (95939093959).

The spelling of 51435040544 in words is "fifty-one billion, four hundred thirty-five million, forty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 449 656 898 1312 1796 3592 7184 14368 18409 36818 73636 87313 147272 174626 294544 349252 589088 698504 1397008 2794016 3579833 7159666 14319332 28638664 39203537 57277328 78407074 114554656 156814148 313628296 627256592 1254513184 1607345017 3214690034 6429380068 12858760136 25717520272 51435040544