Search a number
-
+
40572932805 = 345100092
BaseRepresentation
bin100101110010010101…
…011101001011000101
310212201121010112120000
4211302111131023011
51131043132322210
630350002431513
72634302144556
oct456225351305
9125647115500
1040572932805
11162303a9a29
127a43962599
133a97992062
141d6c70a32d
1510c6e59ac0
hex97255d2c5

40572932805 has 30 divisors (see below), whose sum is σ = 72738006066. Its totient is φ = 21636735552.

The previous prime is 40572932797. The next prime is 40572932809. The reversal of 40572932805 is 50823927504.

40572932805 is a `hidden beast` number, since 40 + 572 + 9 + 32 + 8 + 0 + 5 = 666.

40572932805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 30428615844 + 10144316961 = 174438^2 + 100719^2 .

It is not a de Polignac number, because 40572932805 - 23 = 40572932797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40572932809) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4048641 + ... + 4058649.

Almost surely, 240572932805 is an apocalyptic number.

40572932805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40572932805 is a deficient number, since it is larger than the sum of its proper divisors (32165073261).

40572932805 is an frugal number, since it uses more digits than its factorization.

40572932805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20035 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

Multiplying 40572932805 by its sum of digits (45), we get a square (1825781976225 = 13512152).

40572932805 divided by its sum of digits (45) gives a square (901620729 = 300272).

The spelling of 40572932805 in words is "forty billion, five hundred seventy-two million, nine hundred thirty-two thousand, eight hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 10009 30027 50045 90081 150135 270243 450405 810729 1351215 4053645 100180081 300540243 500900405 901620729 1502701215 2704862187 4508103645 8114586561 13524310935 40572932805