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1081923747840 = 21433513191197
BaseRepresentation
bin11111011111001111010…
…11100100000000000000
310211102122010102000102000
433233213223210000000
5120211234434412330
62145010124424000
7141111036055635
oct17574753440000
93742563360360
101081923747840
11387928828221
121558260a8000
137b042b2a490
143a5188ac18c
151d223a84560
hexfbe7ae4000

1081923747840 has 960 divisors, whose sum is σ = 4185452113920. Its totient is φ = 263580549120.

The previous prime is 1081923747803. The next prime is 1081923747881. The reversal of 1081923747840 is 487473291801.

1081923747840 is a `hidden beast` number, since 1 + 0 + 8 + 192 + 374 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10819237478402 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5491998622 + ... + 5491998818.

It is an arithmetic number, because the mean of its divisors is an integer number (4359845952).

Almost surely, 21081923747840 is an apocalyptic number.

1081923747840 is a gapful number since it is divisible by the number (10) 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 1081923747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092726056960).

1081923747840 is an abundant number, since it is smaller than the sum of its proper divisors (3103528366080).

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

1081923747840 is a wasteful number, since it uses less digits than its factorization.

1081923747840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 1081923747840 in words is "one trillion, eighty-one billion, nine hundred twenty-three million, seven hundred forty-seven thousand, eight hundred forty".