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10973273472 = 27357101499
BaseRepresentation
bin10100011100000111…
…01101110110000000
31001022202011001100000
422032003231312000
5134433124222342
65012511200000
7535633166640
oct121603556600
931282131300
1010973273472
114721143857
122162b16000
13105b52a635
14761514520
1544356044c
hex28e0edd80

10973273472 has 384 divisors, whose sum is σ = 37870560000. Its totient is φ = 3097958400.

The previous prime is 10973273429. The next prime is 10973273473. The reversal of 10973273472 is 27437237901.

10973273472 is a `hidden beast` number, since 109 + 7 + 3 + 2 + 73 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10973273473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21990279 + ... + 21990777.

It is an arithmetic number, because the mean of its divisors is an integer number (98621250).

Almost surely, 210973273472 is an apocalyptic number.

10973273472 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 10973273472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18935280000).

10973273472 is an abundant number, since it is smaller than the sum of its proper divisors (26897286528).

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

10973273472 is an equidigital number, since it uses as much as digits as its factorization.

10973273472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 10973273472 in words is "ten billion, nine hundred seventy-three million, two hundred seventy-three thousand, four hundred seventy-two".