Search a number
-
+
47105493444 = 22326125932
BaseRepresentation
bin101011110111101101…
…001100100111000100
311111120212022000002100
4223313231030213010
51232433001242234
633350122112100
73255214042062
oct536755144704
9144525260070
1047105493444
1118a82906479
12916764b630
1345991a3559
1423cc149032
15135a6dd399
hexaf7b4c9c4

47105493444 has 81 divisors (see below), whose sum is σ = 121260709479. Its totient is φ = 15418379520.

The previous prime is 47105493403. The next prime is 47105493473. The reversal of 47105493444 is 44439450174.

The square root of 47105493444 is 217038.

It is a perfect power (a square), and thus also a powerful number.

47105493444 is a `hidden beast` number, since 4 + 71 + 0 + 54 + 93 + 444 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10361204100 + 36744289344 = 101790^2 + 191688^2 .

It is a super-2 number, since 2×471054934442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47105493444.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79435612 + ... + 79436204.

Almost surely, 247105493444 is an apocalyptic number.

47105493444 is the 217038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47105493444

47105493444 is an abundant number, since it is smaller than the sum of its proper divisors (74155216035).

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

47105493444 is an equidigital number, since it uses as much as digits as its factorization.

47105493444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 47105493444 in words is "forty-seven billion, one hundred five million, four hundred ninety-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 593 732 1098 1186 1779 2196 2372 3558 3721 5337 7116 7442 10674 11163 14884 21348 22326 33489 36173 44652 66978 72346 108519 133956 144692 217038 325557 351649 434076 651114 703298 1054947 1302228 1406596 2109894 2206553 3164841 4219788 4413106 6329682 6619659 8826212 12659364 13239318 19858977 21450589 26478636 39717954 42901178 64351767 79435908 85802356 128703534 193055301 257407068 386110602 772221204 1308485929 2616971858 3925457787 5233943716 7850915574 11776373361 15701831148 23552746722 47105493444