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10933398144 = 27353471013
BaseRepresentation
bin10100010111010111…
…00110101010000000
31001012222010011200000
422023223212222000
5134342422220034
65004524400000
7534640231224
oct121353465200
931188104600
1010933398144
114700688939
1221516a6000
1310531a8776
1475a0d4784
1543ecd5599
hex28bae6a80

10933398144 has 192 divisors, whose sum is σ = 32753579040. Its totient is φ = 3630375936.

The previous prime is 10933398067. The next prime is 10933398163. The reversal of 10933398144 is 44189333901.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 10933398144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10792582 + ... + 10793594.

Almost surely, 210933398144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10933398144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16376789520).

10933398144 is an abundant number, since it is smaller than the sum of its proper divisors (21820180896).

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

10933398144 is an equidigital number, since it uses as much as digits as its factorization.

10933398144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10933398144 in words is "ten billion, nine hundred thirty-three million, three hundred ninety-eight thousand, one hundred forty-four".