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11161608192 = 21337789
BaseRepresentation
bin10100110010100100…
…01010000000000000
31001210212112110000000
422121102022000000
5140324332430232
65043320000000
7543411050520
oct123122120000
931725473000
1011161608192
114808489489
1221b6000000
13108b55c0b7
1477c53b680
15454d6327c
hex29948a000

11161608192 has 448 divisors, whose sum is σ = 38690092800. Its totient is φ = 3153199104.

The previous prime is 11161608173. The next prime is 11161608203. The reversal of 11161608192 is 29180616111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125411284 + ... + 125411372.

Almost surely, 211161608192 is an apocalyptic number.

11161608192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11161608192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19345046400).

11161608192 is an abundant number, since it is smaller than the sum of its proper divisors (27528484608).

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

11161608192 is an frugal number, since it uses more digits than its factorization.

11161608192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 11161608192 in words is "eleven billion, one hundred sixty-one million, six hundred eight thousand, one hundred ninety-two".