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1107243247968 = 25371113314383
BaseRepresentation
bin10000000111001100110…
…101110010100101100000
310220211222200111220000000
4100013030311302211200
5121120113232413333
62204354401300000
7142665343214364
oct20071465624540
93824880456000
101107243247968
11397640a47440
1215a711634600
13805495cb510
143b83b4632a4
151dc06818713
hex101ccd72960

1107243247968 has 1536 divisors, whose sum is σ = 4105873981440. Its totient is φ = 289229875200.

The previous prime is 1107243247967. The next prime is 1107243247973. The reversal of 1107243247968 is 8697423427011.

1107243247968 is a `hidden beast` number, since 1 + 1 + 0 + 72 + 43 + 2 + 479 + 68 = 666.

It is a super-2 number, since 2×11072432479682 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107243247967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13340280055 + ... + 13340280137.

It is an arithmetic number, because the mean of its divisors is an integer number (2673095040).

Almost surely, 21107243247968 is an apocalyptic number.

1107243247968 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 1107243247968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052936990720).

1107243247968 is an abundant number, since it is smaller than the sum of its proper divisors (2998630733472).

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

1107243247968 is a wasteful number, since it uses less digits than its factorization.

1107243247968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1107243247968 in words is "one trillion, one hundred seven billion, two hundred forty-three million, two hundred forty-seven thousand, nine hundred sixty-eight".