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10508069088 = 2534114189101
BaseRepresentation
bin10011100100101010…
…00110100011100000
31000010022210012220000
421302111012203200
5133010031202323
64454412220000
7521254053636
oct116225064340
930108705800
1010508069088
114502592920
12205316a600
13cb603927a
14719819356
154177bbe43
hex2725468e0

10508069088 has 480 divisors, whose sum is σ = 35269486560. Its totient is φ = 3041280000.

The previous prime is 10508069069. The next prime is 10508069093. The reversal of 10508069088 is 88096080501.

10508069088 is a `hidden beast` number, since 1 + 0 + 508 + 0 + 69 + 0 + 88 = 666.

It is a super-2 number, since 2×105080690882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104040238 + ... + 104040338.

It is an arithmetic number, because the mean of its divisors is an integer number (73478097).

Almost surely, 210508069088 is an apocalyptic number.

10508069088 is a gapful number since it is divisible by the number (18) 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 10508069088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17634743280).

10508069088 is an abundant number, since it is smaller than the sum of its proper divisors (24761417472).

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

10508069088 is a wasteful number, since it uses less digits than its factorization.

10508069088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 10508069088 in words is "ten billion, five hundred eight million, sixty-nine thousand, eighty-eight".