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1120092551424 = 28357111971187
BaseRepresentation
bin10000010011001010101…
…101111111100100000000
310222002011011202010200000
4100103022231333210000
5121322422143121144
62214321410400000
7143631636411450
oct20231255774400
93862134663600
101120092551424
113a20350542a0
121610b8890000
13818166b9262
143c2d9ba1d60
151e2098ee769
hex104cab7f900

1120092551424 has 864 divisors, whose sum is σ = 4200250070016. Its totient is φ = 289212456960.

The previous prime is 1120092551401. The next prime is 1120092551483. The reversal of 1120092551424 is 4241552900211.

1120092551424 is a `hidden beast` number, since 1 + 1 + 200 + 9 + 25 + 5 + 1 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 943632559 + ... + 943633745.

It is an arithmetic number, because the mean of its divisors is an integer number (4861400544).

Almost surely, 21120092551424 is an apocalyptic number.

1120092551424 is a gapful number since it is divisible by the number (14) 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 1120092551424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100125035008).

1120092551424 is an abundant number, since it is smaller than the sum of its proper divisors (3080157518592).

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

1120092551424 is a wasteful number, since it uses less digits than its factorization.

1120092551424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1120092551424 in words is "one trillion, one hundred twenty billion, ninety-two million, five hundred fifty-one thousand, four hundred twenty-four".