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1124282995968 = 28311217967589
BaseRepresentation
bin10000010111000100011…
…111010001010100000000
310222110222012210202220210
4100113010133101110000
5121410012421332333
62220253302234120
7144140531534106
oct20270437212400
93873865722823
101124282995968
113a3895494300
12161a88125940
13820338ca842
143c5b652bc76
151e3a2742a63
hex105c47d1500

1124282995968 has 216 divisors, whose sum is σ = 3307405802400. Its totient is φ = 338783498240.

The previous prime is 1124282995961. The next prime is 1124282995973. The reversal of 1124282995968 is 8695992824211.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1124282995899 and 1124282995908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124282995961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16600318 + ... + 16667906.

It is an arithmetic number, because the mean of its divisors is an integer number (15312063900).

Almost surely, 21124282995968 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 1124282995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653702901200).

1124282995968 is an abundant number, since it is smaller than the sum of its proper divisors (2183122806432).

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

1124282995968 is a wasteful number, since it uses less digits than its factorization.

1124282995968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67809 (or 67784 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 66.

The spelling of 1124282995968 in words is "one trillion, one hundred twenty-four billion, two hundred eighty-two million, nine hundred ninety-five thousand, nine hundred sixty-eight".