Search a number
-
+
645213775504 = 2423287312
BaseRepresentation
bin10010110001110011011…
…11001110011010010000
32021200102001112211102011
421120321233032122100
541032344211304004
61212223534232304
764420666413334
oct11307157163220
92250361484364
10645213775504
112296a73a0311
12a5068955694
1348ac6c39b1c
142332b07d7c4
1511bb4437004
hex9639bce690

645213775504 has 45 divisors (see below), whose sum is σ = 1306966771299. Its totient is φ = 308545158240.

The previous prime is 645213775457. The next prime is 645213775519. The reversal of 645213775504 is 405577312546.

The square root of 645213775504 is 803252.

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

645213775504 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-2 number, since 2×6452137755042 (a number of 24 digits) contains 22 as substring.

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, 73894819 + ... + 73903549.

Almost surely, 2645213775504 is an apocalyptic number.

645213775504 is the 803252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645213775504

645213775504 is an abundant number, since it is smaller than the sum of its proper divisors (661752995795).

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

645213775504 is an frugal number, since it uses more digits than its factorization.

645213775504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17516 (or 8756 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 49.

Multiplying 645213775504 by its sum of digits (49), we get a square (31615474999696 = 56227642).

The spelling of 645213775504 in words is "six hundred forty-five billion, two hundred thirteen million, seven hundred seventy-five thousand, five hundred four".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 8464 8731 17462 34924 69848 139696 200813 401626 803252 1606504 3213008 4618699 9237398 18474796 36949592 73899184 76230361 152460722 304921444 609842888 1219685776 1753298303 3506596606 7013193212 14026386424 28052772848 40325860969 80651721938 161303443876 322606887752 645213775504