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111072440556 = 2232711194151437
BaseRepresentation
bin110011101110001101…
…1101111000011101100
3101121200211101121020200
41213130123233003230
53304434021044211
6123005335513500
711011323111210
oct1473433570354
9347624347220
10111072440556
1143118551620
1219639b28890
13a62174b70c
1455397ca940
152d51337b56
hex19dc6ef0ec

111072440556 has 288 divisors, whose sum is σ = 377464389120. Its totient is φ = 26664422400.

The previous prime is 111072440551. The next prime is 111072440593. The reversal of 111072440556 is 655044270111.

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

It is a self number, because there is not a number n which added to its sum of digits gives 111072440556.

It is not an unprimeable number, because it can be changed into a prime (111072440551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2133670 + ... + 2185106.

It is an arithmetic number, because the mean of its divisors is an integer number (1310640240).

Almost surely, 2111072440556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111072440556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188732194560).

111072440556 is an abundant number, since it is smaller than the sum of its proper divisors (266391948564).

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

111072440556 is a wasteful number, since it uses less digits than its factorization.

111072440556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51525 (or 51520 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 111072440556 in words is "one hundred eleven billion, seventy-two million, four hundred forty thousand, five hundred fifty-six".