Search a number
-
+
3620373841984 = 2641258012
BaseRepresentation
bin110100101011101111000…
…110001100100001000000
3110211002211002002201222111
4310223233012030201000
5433304011200420414
611411102103545104
7522364144623244
oct64535706144100
913732732081874
103620373841984
111176434718309
124a579ba5b194
132035274482c3
14c7326d78424
15642930758c4
hex34aef18c840

3620373841984 has 63 divisors (see below), whose sum is σ = 7364946581863. Its totient is φ = 1765731584000.

The previous prime is 3620373841969. The next prime is 3620373841993. The reversal of 3620373841984 is 4891483730263.

The square root of 3620373841984 is 1902728.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29197240384 + 3591176601600 = 170872^2 + 1895040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 624091884 + ... + 624097684.

Almost surely, 23620373841984 is an apocalyptic number.

3620373841984 is the 1902728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3620373841984

3620373841984 is an abundant number, since it is smaller than the sum of its proper divisors (3744572739879).

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

3620373841984 is an frugal number, since it uses more digits than its factorization.

3620373841984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11696 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 58.

The spelling of 3620373841984 in words is "three trillion, six hundred twenty billion, three hundred seventy-three million, eight hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 1681 2624 3362 5801 6724 11602 13448 23204 26896 46408 53792 92816 107584 185632 237841 371264 475682 951364 1902728 3805456 7610912 9751481 15221824 19502962 33651601 39005924 67303202 78011848 134606404 156023696 269212808 312047392 538425616 624094784 1076851232 1379715641 2153702464 2759431282 5518862564 11037725128 22075450256 44150900512 56568341281 88301801024 113136682562 226273365124 452546730248 905093460496 1810186920992 3620373841984