Search a number
-
+
328051726564 = 2273239232
BaseRepresentation
bin1001100011000010110…
…10000001100011100100
31011100202111012101101211
410301201122001203210
520333322220222224
6410412131001204
732462266444612
oct4614132014344
91140674171354
10328051726564
111171427136a1
12536b3a39204
1324c2068a893
1411c409186b2
158800241894
hex4c616818e4

328051726564 has 27 divisors (see below), whose sum is σ = 582210914313. Its totient is φ = 161737695072.

The previous prime is 328051726553. The next prime is 328051726571. The reversal of 328051726564 is 465627150823.

The square root of 328051726564 is 572758.

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

It can be written as a sum of positive squares in only one way, i.e., 186218140900 + 141833585664 = 431530^2 + 376608^2 .

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, 83620707 + ... + 83624629.

Almost surely, 2328051726564 is an apocalyptic number.

328051726564 is the 572758-th square number.

It is an amenable number.

328051726564 is a deficient number, since it is larger than the sum of its proper divisors (254159187749).

328051726564 is an frugal number, since it uses more digits than its factorization.

328051726564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7996 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

Multiplying 328051726564 by its sum of digits (49), we get a square (16074534601636 = 40093062).

The spelling of 328051726564 in words is "three hundred twenty-eight billion, fifty-one million, seven hundred twenty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 73 146 292 3923 5329 7846 10658 15692 21316 286379 572758 1145516 15389929 20905667 30779858 41811334 61559716 83622668 1123464817 2246929634 4493859268 82012931641 164025863282 328051726564