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111479117904 = 243271121516053
BaseRepresentation
bin110011111010010101…
…1000101100001010000
3101122202011121221200200
41213310223011201100
53311302123233104
6123113544215200
711024361603360
oct1476453054120
9348664557620
10111479117904
1143307068300
121973216a500
13a687a8a3bb
14557780c9a0
152d76db9b39
hex19f4ac5850

111479117904 has 360 divisors, whose sum is σ = 394577828736. Its totient is φ = 28759104000.

The previous prime is 111479117861. The next prime is 111479117917. The reversal of 111479117904 is 409711974111.

111479117904 is a `hidden beast` number, since 1 + 1 + 1 + 479 + 1 + 179 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 111479117904.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 18414142 + ... + 18420194.

Almost surely, 2111479117904 is an apocalyptic number.

111479117904 is a gapful number since it is divisible by the number (14) 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 111479117904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197288914368).

111479117904 is an abundant number, since it is smaller than the sum of its proper divisors (283098710832).

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

111479117904 is a wasteful number, since it uses less digits than its factorization.

111479117904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The spelling of 111479117904 in words is "one hundred eleven billion, four hundred seventy-nine million, one hundred seventeen thousand, nine hundred four".