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1120973468328 = 233371773597409
BaseRepresentation
bin10000010011111111001…
…110011011001010101000
310222011102120100100111000
4100103333032123022220
5121331223201441303
62214545035435000
7143662524160350
oct20237716331250
93864376310430
101120973468328
113a244733219a
121613038b5a60
138192706096c
143c380b91b60
151e25be0bda3
hex104ff39b2a8

1120973468328 has 256 divisors, whose sum is σ = 3819600576000. Its totient is φ = 297308454912.

The previous prime is 1120973468287. The next prime is 1120973468429. The reversal of 1120973468328 is 8238643790211.

It is a happy number.

1120973468328 is a `hidden beast` number, since 1 + 1 + 209 + 73 + 46 + 8 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1577688 + ... + 2175096.

It is an arithmetic number, because the mean of its divisors is an integer number (14920314750).

Almost surely, 21120973468328 is an apocalyptic number.

1120973468328 is a gapful number since it is divisible by the number (18) 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 1120973468328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909800288000).

1120973468328 is an abundant number, since it is smaller than the sum of its proper divisors (2698627107672).

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

1120973468328 is a wasteful number, since it uses less digits than its factorization.

1120973468328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597521 (or 597511 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1120973468328 in words is "one trillion, one hundred twenty billion, nine hundred seventy-three million, four hundred sixty-eight thousand, three hundred twenty-eight".