Search a number
-
+
44681647632 = 24331833311093
BaseRepresentation
bin101001100111001110…
…111101011000010000
311021022221101212201020
4221213032331120100
51213002000211012
632305414435440
73141152511156
oct514716753020
9137287355636
1044681647632
1117a49697216
1287ab962b80
1342a0c88b6b
14223c27d3d6
151267a06a8c
hexa673bd610

44681647632 has 160 divisors (see below), whose sum is σ = 121061584896. Its totient is φ = 14183769600.

The previous prime is 44681647609. The next prime is 44681647639. The reversal of 44681647632 is 23674618644.

44681647632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×446816476323 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (44681647639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40879278 + ... + 40880370.

Almost surely, 244681647632 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 44681647632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60530792448).

44681647632 is an abundant number, since it is smaller than the sum of its proper divisors (76379937264).

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

44681647632 is a wasteful number, since it uses less digits than its factorization.

44681647632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1543 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The spelling of 44681647632 in words is "forty-four billion, six hundred eighty-one million, six hundred forty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 83 93 124 166 186 248 249 331 332 372 496 498 662 664 744 993 996 1093 1324 1328 1488 1986 1992 2186 2573 2648 3279 3972 3984 4372 5146 5296 6558 7719 7944 8744 10261 10292 13116 15438 15888 17488 20522 20584 26232 27473 30783 30876 33883 41044 41168 52464 54946 61566 61752 67766 82088 82419 90719 101649 109892 123132 123504 135532 164176 164838 181438 203298 219784 246264 271064 272157 329676 361783 362876 406596 439568 492528 542128 544314 659352 723566 725752 813192 851663 1085349 1088628 1318704 1447132 1451504 1626384 1703326 2170698 2177256 2554989 2812289 2894264 3406652 4341396 4354512 5109978 5624578 5788528 6813304 8436867 8682792 10219956 11215273 11249156 13626608 16873734 17365584 20439912 22430546 22498312 30027989 33645819 33747468 40879824 44861092 44996624 60055978 67291638 67494936 89722184 90083967 120111956 134583276 134989872 179444368 180167934 240223912 269166552 360335868 480447824 538333104 720671736 930867659 1441343472 1861735318 2792602977 3723470636 5585205954 7446941272 11170411908 14893882544 22340823816 44681647632