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11071109808 = 24341137139151
BaseRepresentation
bin10100100111110001…
…11011101010110000
31001120120020122120000
422103320323222300
5140133201003213
65030324150000
7541231611033
oct122370735260
931516218500
1011071109808
114771397730
12218b838300
131075894365
1477050101a
1544be38c73
hex293e3bab0

11071109808 has 400 divisors, whose sum is σ = 36398503680. Its totient is φ = 3219264000.

The previous prime is 11071109807. The next prime is 11071109813. The reversal of 11071109808 is 80890117011.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (11071109807) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73318533 + ... + 73318683.

Almost surely, 211071109808 is an apocalyptic number.

11071109808 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 11071109808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18199251840).

11071109808 is an abundant number, since it is smaller than the sum of its proper divisors (25327393872).

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

11071109808 is a wasteful number, since it uses less digits than its factorization.

11071109808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 36.

The spelling of 11071109808 in words is "eleven billion, seventy-one million, one hundred nine thousand, eight hundred eight".