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1080974934000 = 243253136317321
BaseRepresentation
bin11111011101011110010…
…00000111111111110000
310211100012000001021111200
433232233020013333300
5120202314040342000
62144332032211200
7141045365222553
oct17565710077760
93740160037450
101080974934000
11387491195355
12155600399b00
137ac213a2580
143a46888669a
151d1ba614500
hexfbaf207ff0

1080974934000 has 480 divisors, whose sum is σ = 4072906900608. Its totient is φ = 265628160000.

The previous prime is 1080974933971. The next prime is 1080974934023. The reversal of 1080974934000 is 4394790801.

1080974934000 is a `hidden beast` number, since 10 + 80 + 9 + 74 + 93 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 147650340 + ... + 147657660.

Almost surely, 21080974934000 is an apocalyptic number.

1080974934000 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 1080974934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036453450304).

1080974934000 is an abundant number, since it is smaller than the sum of its proper divisors (2991931966608).

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

1080974934000 is a wasteful number, since it uses less digits than its factorization.

1080974934000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7994 (or 7975 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1080974934000 in words is "one trillion, eighty billion, nine hundred seventy-four million, nine hundred thirty-four thousand".