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11341486080 = 2113351719127
BaseRepresentation
bin10101001000000000…
…10101100000000000
31002021102000012002000
422210000111200000
5141211410023310
65113223224000
7551024020041
oct124400254000
932242005060
1011341486080
11489aa783a1
1222462a8000
1310b98bc512
147983a28c8
15465a454c0
hex2a4015800

11341486080 has 768 divisors, whose sum is σ = 45287424000. Its totient is φ = 2675441664.

The previous prime is 11341486049. The next prime is 11341486103. The reversal of 11341486080 is 8068414311.

It is a happy number.

11341486080 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 1 + 48 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89302977 + ... + 89303103.

It is an arithmetic number, because the mean of its divisors is an integer number (58968000).

Almost surely, 211341486080 is an apocalyptic number.

11341486080 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 11341486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712000).

11341486080 is an abundant number, since it is smaller than the sum of its proper divisors (33945937920).

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

11341486080 is a wasteful number, since it uses less digits than its factorization.

11341486080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11341486080 in words is "eleven billion, three hundred forty-one million, four hundred eighty-six thousand, eighty".