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11716803648 = 2632113172931
BaseRepresentation
bin10101110100110000…
…00011110001000000
31010020120020021222200
422322120003301000
5142444000204043
65214351433200
7563232121254
oct127230036100
933216207880
1011716803648
114a72915000
12232bb25800
13114959b314
147d2180264
154889807d3
hex2ba603c40

11716803648 has 672 divisors, whose sum is σ = 41766865920. Its totient is φ = 3122380800.

The previous prime is 11716803643. The next prime is 11716803661. The reversal of 11716803648 is 84630861711.

It is a super-2 number, since 2×117168036482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11716803643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377961393 + ... + 377961423.

Almost surely, 211716803648 is an apocalyptic number.

11716803648 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 11716803648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20883432960).

11716803648 is an abundant number, since it is smaller than the sum of its proper divisors (30050062272).

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

11716803648 is a wasteful number, since it uses less digits than its factorization.

11716803648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11716803648 in words is "eleven billion, seven hundred sixteen million, eight hundred three thousand, six hundred forty-eight".