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7004444148 = 22321314966761
BaseRepresentation
bin1101000010111111…
…10101010111110100
3200002011002122000100
412201133311113310
5103321114203043
63115013314100
7335401535652
oct64137652764
920064078010
107004444148
112a7490a619
121435935930
13878200a10
144a6395dd2
152aede5cd3
hex1a17f55f4

7004444148 has 36 divisors (see below), whose sum is σ = 19067654788. Its totient is φ = 2155213440.

The previous prime is 7004444147. The next prime is 7004444171. The reversal of 7004444148 is 8414444007.

7004444148 is a `hidden beast` number, since 70 + 0 + 4 + 444 + 148 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 289952784 + 6714491364 = 17028^2 + 81942^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7004444147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7482913 + ... + 7483848.

Almost surely, 27004444148 is an apocalyptic number.

7004444148 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7004444148 is an abundant number, since it is smaller than the sum of its proper divisors (12063210640).

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

7004444148 is a wasteful number, since it uses less digits than its factorization.

7004444148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14966784 (or 14966779 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 7004444148 is about 83692.5573035022. The cubic root of 7004444148 is about 1913.3359232875.

The spelling of 7004444148 in words is "seven billion, four million, four hundred forty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 14966761 29933522 44900283 59867044 89800566 134700849 179601132 194567893 269401698 389135786 538803396 583703679 778271572 1167407358 1751111037 2334814716 3502222074 7004444148