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112809742740 = 223351741299723
BaseRepresentation
bin110100100001111111…
…1000001000110010100
3101210011220102200211000
41221003333001012110
53322013243231430
6123454000143300
711102346664152
oct1510377010624
9353156380730
10112809742740
114392a182452
1219a43907b30
13a83a658886
1456624223d2
152e03b08e60
hex1a43fc1194

112809742740 has 192 divisors, whose sum is σ = 380673457920. Its totient is φ = 27622379520.

The previous prime is 112809742697. The next prime is 112809742769. The reversal of 112809742740 is 47247908211.

112809742740 is a `hidden beast` number, since 11 + 280 + 97 + 4 + 274 + 0 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 226519 + ... + 526241.

It is an arithmetic number, because the mean of its divisors is an integer number (1982674260).

Almost surely, 2112809742740 is an apocalyptic number.

112809742740 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 112809742740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190336728960).

112809742740 is an abundant number, since it is smaller than the sum of its proper divisors (267863715180).

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

112809742740 is a wasteful number, since it uses less digits than its factorization.

112809742740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299799 (or 299791 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 112809742740 in words is "one hundred twelve billion, eight hundred nine million, seven hundred forty-two thousand, seven hundred forty".