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10913944320 = 283353161167
BaseRepresentation
bin10100010101000010…
…11001001100000000
31001011121111211001000
422022201121030000
5134322432204240
65002551412000
7534312665436
oct121241311400
931147454030
1010913944320
1146a07009a4
122147084000
13104c156b26
147576acd56
1543d241430
hex28a859300

10913944320 has 576 divisors, whose sum is σ = 40877383680. Its totient is φ = 2753740800.

The previous prime is 10913944277. The next prime is 10913944331. The reversal of 10913944320 is 2344931901.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×109139443202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65352877 + ... + 65353043.

It is an arithmetic number, because the mean of its divisors is an integer number (70967680).

Almost surely, 210913944320 is an apocalyptic number.

10913944320 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 10913944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20438691840).

10913944320 is an abundant number, since it is smaller than the sum of its proper divisors (29963439360).

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

10913944320 is a wasteful number, since it uses less digits than its factorization.

10913944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10913944320 in words is "ten billion, nine hundred thirteen million, nine hundred forty-four thousand, three hundred twenty".