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10973323076760 = 23325114761739551
BaseRepresentation
bin1001111110101110110100…
…0001100010010010011000
31102212001001202022120021100
42133223231001202102120
52414241331201424020
635201024112311400
72211540114112032
oct237535501422230
942761052276240
1010973323076760
11355083a891710
121292853842560
13617a1a660c85
1429d17c5d2c52
15140694690a90
hex9faed062498

10973323076760 has 384 divisors, whose sum is σ = 39743790428160. Its totient is φ = 2602905216000.

The previous prime is 10973323076759. The next prime is 10973323076831. The reversal of 10973323076760 is 6767032337901.

It is a junction number, because it is equal to n+sod(n) for n = 10973323076697 and 10973323076706.

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, 1148913985 + ... + 1148923535.

It is an arithmetic number, because the mean of its divisors is an integer number (103499454240).

Almost surely, 210973323076760 is an apocalyptic number.

10973323076760 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 10973323076760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19871895214080).

10973323076760 is an abundant number, since it is smaller than the sum of its proper divisors (28770467351400).

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

10973323076760 is a wasteful number, since it uses less digits than its factorization.

10973323076760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15799 (or 15792 counting only the distinct ones).

The product of its (nonzero) digits is 6001128, while the sum is 54.

The spelling of 10973323076760 in words is "ten trillion, nine hundred seventy-three billion, three hundred twenty-three million, seventy-six thousand, seven hundred sixty".