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11293159680 = 283251189119
BaseRepresentation
bin10101000010001111…
…11111000100000000
31002011001001221201100
422201013333010000
5141112022102210
65104335334400
7546566162535
oct124107770400
932131057640
1011293159680
114875770020
122232081400
1310ac89bb0a
14791bc2d8c
1546169b5c0
hex2a11ff100

11293159680 has 216 divisors, whose sum is σ = 42625739520. Its totient is φ = 2737704960.

The previous prime is 11293159673. The next prime is 11293159697. The reversal of 11293159680 is 8695139211.

11293159680 is a `hidden beast` number, since 1 + 1 + 29 + 31 + 596 + 8 + 0 = 666.

It is a super-3 number, since 3×112931596803 (a number of 31 digits) contains 333 as substring.

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

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, 82161 + ... + 171279.

Almost surely, 211293159680 is an apocalyptic number.

11293159680 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 11293159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21312869760).

11293159680 is an abundant number, since it is smaller than the sum of its proper divisors (31332579840).

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

11293159680 is a wasteful number, since it uses less digits than its factorization.

11293159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89157 (or 89140 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 11293159680 in words is "eleven billion, two hundred ninety-three million, one hundred fifty-nine thousand, six hundred eighty".