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111680725860 = 22335111931137233
BaseRepresentation
bin110100000000010110…
…0001010001101100100
3101200021012222200211000
41220000230022031210
53312210231211420
6123145545313300
711032360335564
oct1500054121544
9350235880730
10111680725860
11433aa949350
1219789795830
13a6ba788552
1455964ccda4
152d89940690
hex1a00b0a364

111680725860 has 768 divisors, whose sum is σ = 416644300800. Its totient is φ = 24534835200.

The previous prime is 111680725853. The next prime is 111680725867. The reversal of 111680725860 is 68527086111.

111680725860 is a `hidden beast` number, since 1 + 1 + 1 + 68 + 0 + 7 + 2 + 586 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (111680725853) and next prime (111680725867).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (111680725867) 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 255 ways as a sum of consecutive naturals, for example, 479316304 + ... + 479316536.

It is an arithmetic number, because the mean of its divisors is an integer number (542505600).

Almost surely, 2111680725860 is an apocalyptic number.

111680725860 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 111680725860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208322150400).

111680725860 is an abundant number, since it is smaller than the sum of its proper divisors (304963574940).

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

111680725860 is a wasteful number, since it uses less digits than its factorization.

111680725860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 111680725860 in words is "one hundred eleven billion, six hundred eighty million, seven hundred twenty-five thousand, eight hundred sixty".