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11191690368 = 27329715009
BaseRepresentation
bin10100110110001001…
…11010010010000000
31001212222010202222200
422123010322102000
5140410033042433
65050312433200
7544224540615
oct123304722200
931788122880
1011191690368
114823465691
1222040a8800
1310948625c1
1478252c50c
15457806613
hex29b13a480

11191690368 has 48 divisors (see below), whose sum is σ = 32205258150. Its totient is φ = 3730563072.

The previous prime is 11191690361. The next prime is 11191690373. The reversal of 11191690368 is 86309619111.

11191690368 is a `hidden beast` number, since 11 + 191 + 6 + 90 + 368 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6568778304 + 4622912064 = 81048^2 + 67992^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11191690361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4856353 + ... + 4858656.

Almost surely, 211191690368 is an apocalyptic number.

11191690368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11191690368 is an abundant number, since it is smaller than the sum of its proper divisors (21013567782).

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

11191690368 is an equidigital number, since it uses as much as digits as its factorization.

11191690368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9715029 (or 9715014 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 11191690368 in words is "eleven billion, one hundred ninety-one million, six hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 9715009 19430018 29145027 38860036 58290054 77720072 87435081 116580108 155440144 174870162 233160216 310880288 349740324 466320432 621760576 699480648 932640864 1243521152 1398961296 1865281728 2797922592 3730563456 5595845184 11191690368