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1107244546992 = 243317292315783
BaseRepresentation
bin10000000111001100111…
…010101111101110110000
310220211222202221212221000
4100013030322233232300
5121120114101000432
62204354445202000
7142665360234543
oct20071472575660
93824882855830
101107244546992
11397641754411
1215a711b60300
138054996487c
143b83b6c085a
151dc069c357c
hex101cceafbb0

1107244546992 has 480 divisors, whose sum is σ = 3598243983360. Its totient is φ = 324517294080.

The previous prime is 1107244546987. The next prime is 1107244547027. The reversal of 1107244546992 is 2996454427011.

1107244546992 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 2 + 4 + 4 + 546 + 9 + 92 = 666.

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

It is a congruent number.

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, 191462533 + ... + 191468315.

It is an arithmetic number, because the mean of its divisors is an integer number (7496341632).

Almost surely, 21107244546992 is an apocalyptic number.

1107244546992 is a gapful number since it is divisible by the number (12) 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 1107244546992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799121991680).

1107244546992 is an abundant number, since it is smaller than the sum of its proper divisors (2490999436368).

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

1107244546992 is a wasteful number, since it uses less digits than its factorization.

1107244546992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906 (or 5865 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1107244546992 in words is "one trillion, one hundred seven billion, two hundred forty-four million, five hundred forty-six thousand, nine hundred ninety-two".