Search a number
-
+
44546051313 = 32731012812389
BaseRepresentation
bin101001011111001001…
…101100110011110001
311020222111020212112100
4221133021230303301
51212212242120223
632244132251013
73134615121501
oct513711546361
9136874225470
1044546051313
111798a0a2745
128772470a69
13427bb6105a
142228263a01
15125ab70043
hexa5f26ccf1

44546051313 has 48 divisors (see below), whose sum is σ = 66133613520. Its totient is φ = 28885248000.

The previous prime is 44546051311. The next prime is 44546051339. The reversal of 44546051313 is 31315064544.

44546051313 is a `hidden beast` number, since 4 + 45 + 4 + 605 + 1 + 3 + 1 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3228171489 + 41317879824 = 56817^2 + 203268^2 .

It is not a de Polignac number, because 44546051313 - 21 = 44546051311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44546051311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18645123 + ... + 18647511.

It is an arithmetic number, because the mean of its divisors is an integer number (1377783615).

Almost surely, 244546051313 is an apocalyptic number.

It is an amenable number.

44546051313 is a deficient number, since it is larger than the sum of its proper divisors (21587562207).

44546051313 is a wasteful number, since it uses less digits than its factorization.

44546051313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 44546051313 in words is "forty-four billion, five hundred forty-six million, fifty-one thousand, three hundred thirteen".

Divisors: 1 3 9 73 101 219 281 303 657 843 909 2389 2529 7167 7373 20513 21501 22119 28381 61539 66357 85143 174397 184617 241289 255429 523191 671309 723867 1569573 2013927 2071813 2171601 6041781 6215439 17614097 18646317 49005557 52842291 67802209 147016671 158526873 203406627 441050013 610219881 4949561257 14848683771 44546051313