Search a number
-
+
6144344964 = 223356892083
BaseRepresentation
bin1011011100011101…
…10100001110000100
3120212012200001202000
411232032310032010
5100040423014324
62453410345300
7305156033112
oct55616641604
916765601660
106144344964
11267336034a
12123588b230
1376bc679a4
14424064ab2
1525e64b9c9
hex16e3b4384

6144344964 has 24 divisors (see below), whose sum is σ = 15929783520. Its totient is φ = 2048114952.

The previous prime is 6144344951. The next prime is 6144344989. The reversal of 6144344964 is 4694434416.

6144344964 is a `hidden beast` number, since 6 + 144 + 3 + 449 + 64 = 666.

It is a super-2 number, since 2×61443449642 = 75505950073264322592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28445934 + ... + 28446149.

It is an arithmetic number, because the mean of its divisors is an integer number (663740980).

Almost surely, 26144344964 is an apocalyptic number.

It is an amenable number.

6144344964 is an abundant number, since it is smaller than the sum of its proper divisors (9785438556).

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

6144344964 is a wasteful number, since it uses less digits than its factorization.

6144344964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56892096 (or 56892088 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 6144344964 is about 78385.8722219763. The cubic root of 6144344964 is about 1831.5770656733.

The spelling of 6144344964 in words is "six billion, one hundred forty-four million, three hundred forty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 56892083 113784166 170676249 227568332 341352498 512028747 682704996 1024057494 1536086241 2048114988 3072172482 6144344964