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10660328448 = 2103711217241
BaseRepresentation
bin10011110110110011…
…11011010000000000
31000111221021210110120
421323121323100000
5133313021002243
64521451500240
7525113203530
oct117331732000
930457253416
1010660328448
114580528600
122096157680
13100b749673
14731b314c0
15425d45c83
hex27b67b400

10660328448 has 528 divisors, whose sum is σ = 37949611392. Its totient is φ = 2595225600.

The previous prime is 10660328401. The next prime is 10660328449. The reversal of 10660328448 is 84482306601.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×106603284482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10660328449) 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, 44233608 + ... + 44233848.

It is an arithmetic number, because the mean of its divisors is an integer number (71874264).

Almost surely, 210660328448 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 10660328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18974805696).

10660328448 is an abundant number, since it is smaller than the sum of its proper divisors (27289282944).

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

10660328448 is a wasteful number, since it uses less digits than its factorization.

10660328448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 10660328448 in words is "ten billion, six hundred sixty million, three hundred twenty-eight thousand, four hundred forty-eight".