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10669942080 = 263457231271
BaseRepresentation
bin10011110111111101…
…00110010101000000
31000112121101012220000
421323332212111000
5133323001121310
64522433520000
7525261003600
oct117376462500
930477335800
1010669942080
1145859a4456
122099413000
1310107343c5
14733114c00
15426ae44c0
hex27bfa6540

10669942080 has 840 divisors, whose sum is σ = 45743993856. Its totient is φ = 2351462400.

The previous prime is 10669942079. The next prime is 10669942099. The reversal of 10669942080 is 8024996601.

It is a happy number.

10669942080 is a `hidden beast` number, since 1 + 0 + 66 + 99 + 420 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×106699420802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39372345 + ... + 39372615.

Almost surely, 210669942080 is an apocalyptic number.

10669942080 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 10669942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22871996928).

10669942080 is an abundant number, since it is smaller than the sum of its proper divisors (35074051776).

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

10669942080 is a wasteful number, since it uses less digits than its factorization.

10669942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10669942080 in words is "ten billion, six hundred sixty-nine million, nine hundred forty-two thousand, eighty".