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4156880112 = 243274111093
BaseRepresentation
bin1111011111000100…
…1111010011110000
3101201200220101111200
43313301033103300
532003130130422
61524252211200
7205003620000
oct36761172360
911650811450
104156880112
1118434a5610
12980169b00
1351328c098
142b6110000
15194e132ac
hexf7c4f4f0

4156880112 has 300 divisors, whose sum is σ = 14818925784. Its totient is φ = 1078721280.

The previous prime is 4156880083. The next prime is 4156880177. The reversal of 4156880112 is 2110886514.

4156880112 is a `hidden beast` number, since 4 + 1 + 568 + 80 + 1 + 12 = 666.

It is a super-2 number, since 2×41568801122 = 34559304531082265088, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3802638 + ... + 3803730.

Almost surely, 24156880112 is an apocalyptic number.

4156880112 is a gapful number since it is divisible by the number (42) 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 4156880112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7409462892).

4156880112 is an abundant number, since it is smaller than the sum of its proper divisors (10662045672).

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

4156880112 is a wasteful number, since it uses less digits than its factorization.

4156880112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 4156880112 is about 64473.8715449910. The cubic root of 4156880112 is about 1607.8881447403. Note that the first 3 decimals are identical.

The spelling of 4156880112 in words is "four billion, one hundred fifty-six million, eight hundred eighty thousand, one hundred twelve".