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6144109074 = 2323718150969
BaseRepresentation
bin1011011100011011…
…11010101000010010
3120212012020002011100
411232031322220102
5100040342442244
62453401325230
7305154031305
oct55615725022
916765202140
106144109074
11267320a0a4
121235796816
1376bbb44cc
14424002b3c
1525e601b69
hex16e37aa12

6144109074 has 48 divisors (see below), whose sum is σ = 13747832280. Its totient is φ = 1981635840.

The previous prime is 6144109073. The next prime is 6144109091. The reversal of 6144109074 is 4709014416.

6144109074 is a `hidden beast` number, since 61 + 441 + 0 + 90 + 74 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3598200225 + 2545908849 = 59985^2 + 50457^2 .

It is not an unprimeable number, because it can be changed into a prime (6144109073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95062 + ... + 146030.

Almost surely, 26144109074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6144109074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873916140).

6144109074 is an abundant number, since it is smaller than the sum of its proper divisors (7603723206).

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

6144109074 is a wasteful number, since it uses less digits than its factorization.

6144109074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51195 (or 51192 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6144109074 is about 78384.3675358805. The cubic root of 6144109074 is about 1831.5536264380.

The spelling of 6144109074 in words is "six billion, one hundred forty-four million, one hundred nine thousand, seventy-four".

Divisors: 1 2 3 6 9 18 37 74 111 181 222 333 362 543 666 1086 1629 3258 6697 13394 20091 40182 50969 60273 101938 120546 152907 305814 458721 917442 1885853 3771706 5657559 9225389 11315118 16972677 18450778 27676167 33945354 55352334 83028501 166057002 341339393 682678786 1024018179 2048036358 3072054537 6144109074