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4145862465 = 325706913033
BaseRepresentation
bin1111011100011100…
…1101011101000001
3101200221011122010200
43313013031131001
531442320044330
61523220115413
7204511151403
oct36707153501
911627148120
104145862465
11183825a918
12978535b69
13510c02274
142b4882b73
15193e88a60
hexf71cd741

4145862465 has 24 divisors (see below), whose sum is σ = 7187729640. Its totient is φ = 2210644224.

The previous prime is 4145862449. The next prime is 4145862467. The reversal of 4145862465 is 5642685414.

It is a happy number.

4145862465 is a `hidden beast` number, since 4 + 1 + 4 + 586 + 2 + 4 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 381303729 + 3764558736 = 19527^2 + 61356^2 .

It is not a de Polignac number, because 4145862465 - 24 = 4145862449 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4145862465.

It is not an unprimeable number, because it can be changed into a prime (4145862467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311589 + ... + 324621.

It is an arithmetic number, because the mean of its divisors is an integer number (299488735).

Almost surely, 24145862465 is an apocalyptic number.

4145862465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4145862465 is a deficient number, since it is larger than the sum of its proper divisors (3041867175).

4145862465 is a wasteful number, since it uses less digits than its factorization.

4145862465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20113 (or 20110 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 4145862465 is about 64388.3721257185. The cubic root of 4145862465 is about 1606.4663397888.

The spelling of 4145862465 in words is "four billion, one hundred forty-five million, eight hundred sixty-two thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 7069 13033 21207 35345 39099 63621 65165 106035 117297 195495 318105 586485 92130277 276390831 460651385 829172493 1381954155 4145862465