Search a number
-
+
6361314768 = 243264168917
BaseRepresentation
bin1011110110010100…
…11111010111010000
3121102022221021100200
411323022133113100
5101011444033033
62531121015200
7313432166124
oct57312372720
917368837320
106361314768
112774883a36
121296484500
137a4bb40a3
14444bc3584
15273709013
hex17b29f5d0

6361314768 has 60 divisors (see below), whose sum is σ = 17830878468. Its totient is φ = 2117099520.

The previous prime is 6361314767. The next prime is 6361314821. The reversal of 6361314768 is 8674131636.

6361314768 is a `hidden beast` number, since 636 + 1 + 3 + 1 + 4 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4158702144 + 2202612624 = 64488^2 + 46932^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6361314767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57846 + ... + 126762.

Almost surely, 26361314768 is an apocalyptic number.

It is an amenable number.

6361314768 is an abundant number, since it is smaller than the sum of its proper divisors (11469563700).

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

6361314768 is a wasteful number, since it uses less digits than its factorization.

6361314768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69572 (or 69563 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 6361314768 is about 79757.8508236023. The cubic root of 6361314768 is about 1852.8871178175.

The spelling of 6361314768 in words is "six billion, three hundred sixty-one million, three hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 641 1282 1923 2564 3846 5128 5769 7692 10256 11538 15384 23076 30768 46152 68917 92304 137834 206751 275668 413502 551336 620253 827004 1102672 1240506 1654008 2481012 3308016 4962024 9924048 44175797 88351594 132527391 176703188 265054782 353406376 397582173 530109564 706812752 795164346 1060219128 1590328692 2120438256 3180657384 6361314768