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11674142496 = 25344503913
BaseRepresentation
bin10101101111101010…
…10100011100100000
31010010120221212220000
422313311110130200
5142402040024441
65210225220000
7562203400602
oct126765243440
933116855800
1011674142496
114a50827055
122319791600
1311407b2433
147ca637172
15484d552b6
hex2b7d54720

11674142496 has 60 divisors (see below), whose sum is σ = 34333336422. Its totient is φ = 3891379968.

The previous prime is 11674142479. The next prime is 11674142497. The reversal of 11674142496 is 69424147611.

11674142496 is a `hidden beast` number, since 1 + 16 + 7 + 4 + 142 + 496 = 666.

11674142496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7772890896 + 3901251600 = 88164^2 + 62460^2 .

It is a super-2 number, since 2×116741424962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11674142497) 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 9 ways as a sum of consecutive naturals, for example, 2249365 + ... + 2254548.

Almost surely, 211674142496 is an apocalyptic number.

11674142496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11674142496 is an abundant number, since it is smaller than the sum of its proper divisors (22659193926).

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

11674142496 is an equidigital number, since it uses as much as digits as its factorization.

11674142496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503935 (or 4503918 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 11674142496 in words is "eleven billion, six hundred seventy-four million, one hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 4503913 9007826 13511739 18015652 27023478 36031304 40535217 54046956 72062608 81070434 108093912 121605651 144125216 162140868 216187824 243211302 324281736 364816953 432375648 486422604 648563472 729633906 972845208 1297126944 1459267812 1945690416 2918535624 3891380832 5837071248 11674142496