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10994880000 = 2935413881
BaseRepresentation
bin10100011110101100…
…01000111000000000
31001101020210202220210
422033112020320000
5140004142130000
65015002234120
7536314636506
oct121726107000
931336722823
1010994880000
114732361095
12216a1b5940
131062b54070
1476433a676
154453cc350
hex28f588e00

10994880000 has 400 divisors, whose sum is σ = 39462380496. Its totient is φ = 2703360000.

The previous prime is 10994879993. The next prime is 10994880089. The reversal of 10994880000 is 8849901.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12479560 + ... + 12480440.

Almost surely, 210994880000 is an apocalyptic number.

10994880000 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 10994880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19731190248).

10994880000 is an abundant number, since it is smaller than the sum of its proper divisors (28467500496).

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

10994880000 is an frugal number, since it uses more digits than its factorization.

10994880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 10994880000 in words is "ten billion, nine hundred ninety-four million, eight hundred eighty thousand".