Search a number
-
+
945345899521 = 47213721512
BaseRepresentation
bin11011100000110110000…
…00011010110000000001
310100101002210002110020101
431300123000122300001
5110442032022241041
62002141431242401
7125204360364142
oct15603300326001
93311083073211
10945345899521
11334a1212a311
1213326a519401
136b1b8248c0a
1433a7d975ac9
15198cd4e3b31
hexdc1b01ac01

945345899521 has 27 divisors (see below), whose sum is σ = 979475641347. Its totient is φ = 912395997600.

The previous prime is 945345899483. The next prime is 945345899551. The reversal of 945345899521 is 125998543549.

The square root of 945345899521 is 972289.

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., 555300684225 + 390045215296 = 745185^2 + 624536^2 .

It is not a de Polignac number, because 945345899521 - 227 = 945211681793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (945345899551) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6260568796 + ... + 6260568946.

Almost surely, 2945345899521 is an apocalyptic number.

945345899521 is the 972289-th square number.

945345899521 is the 486145-th centered octagonal number.

It is an amenable number.

945345899521 is a deficient number, since it is larger than the sum of its proper divisors (34129741826).

945345899521 is an frugal number, since it uses more digits than its factorization.

945345899521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 335 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 64.

Multiplying 945345899521 by its sum of digits (64), we get a square (60502137569344 = 77783122).

The spelling of 945345899521 in words is "nine hundred forty-five billion, three hundred forty-five million, eight hundred ninety-nine thousand, five hundred twenty-one".

Divisors: 1 47 137 151 2209 6439 7097 18769 20687 22801 302633 333559 882143 972289 1071647 2834119 3123737 41460721 45697583 50367409 133203593 146815639 427951969 6260568871 6900335033 20113742543 945345899521