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113228848303956 = 22327111729312672731
BaseRepresentation
bin11001101111101100100101…
…010010000000111101010100
3112211220120110010021102110200
4121233230211102000331110
5104320120140131211311
61040452340444420500
732564341262333250
oct3157544522007524
9484816403242420
10113228848303956
11330950a2aa7890
1210848614247730
134b24585a04568
141dd643c409260
15d1551ed5b556
hex66fb25480f54

113228848303956 has 576 divisors, whose sum is σ = 403470491074560. Its totient is φ = 25863473664000.

The previous prime is 113228848303919. The next prime is 113228848304003. The reversal of 113228848303956 is 659303848822311.

113228848303956 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 288 + 48 + 303 + 9 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 113228848303893 and 113228848303902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41028111 + ... + 43700841.

It is an arithmetic number, because the mean of its divisors is an integer number (700469602560).

Almost surely, 2113228848303956 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 113228848303956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201735245537280).

113228848303956 is an abundant number, since it is smaller than the sum of its proper divisors (290241642770604).

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

113228848303956 is a wasteful number, since it uses less digits than its factorization.

113228848303956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672836 (or 2672831 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 113228848303956 in words is "one hundred thirteen trillion, two hundred twenty-eight billion, eight hundred forty-eight million, three hundred three thousand, nine hundred fifty-six".