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11139194880 = 213325114167
BaseRepresentation
bin10100101111111001…
…01010000000000000
31001202022100201201100
422113330222000000
5140303113214010
65041155334400
7543016410552
oct122774520000
931668321640
1011139194880
1147a686aa90
1221aa5b1400
131086a12398
147795854d2
15452dd72c0
hex297f2a000

11139194880 has 672 divisors, whose sum is σ = 43795297728. Its totient is φ = 2595225600.

The previous prime is 11139194863. The next prime is 11139194887. The reversal of 11139194880 is 8849193111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11139194887) 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 47 ways as a sum of consecutive naturals, for example, 166256607 + ... + 166256673.

It is an arithmetic number, because the mean of its divisors is an integer number (65171574).

Almost surely, 211139194880 is an apocalyptic number.

11139194880 is a gapful number since it is divisible by the number (10) 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 11139194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21897648864).

11139194880 is an abundant number, since it is smaller than the sum of its proper divisors (32656102848).

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

11139194880 is a wasteful number, since it uses less digits than its factorization.

11139194880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 11139194880 in words is "eleven billion, one hundred thirty-nine million, one hundred ninety-four thousand, eight hundred eighty".