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11316781679616 = 210337314767599
BaseRepresentation
bin1010010010101110010011…
…0000001000010000000000
31111001212120222021100201000
42210223210300020100000
52440403232102221431
640022505134212000
72245416254060430
oct244534460102000
944055528240630
1011316781679616
113673469259516
121329327354000
13641224c45caa
142b1a413a62c0
151495972b79e6
hexa4ae4c08400

11316781679616 has 1408 divisors, whose sum is σ = 41050570752000. Its totient is φ = 3011743088640.

The previous prime is 11316781679611. The next prime is 11316781679627. The reversal of 11316781679616 is 61697618761311.

11316781679616 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 6 + 7 + 8 + 1 + 6 + 7 + 9 + 616 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (13716864) is a multiple of the sum of its prime divisors (756).

It is not an unprimeable number, because it can be changed into a prime (11316781679611) 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 127 ways as a sum of consecutive naturals, for example, 18892790485 + ... + 18892791083.

Almost surely, 211316781679616 is an apocalyptic number.

11316781679616 is a gapful number since it is divisible by the number (16) 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 11316781679616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20525285376000).

11316781679616 is an abundant number, since it is smaller than the sum of its proper divisors (29733789072384).

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

11316781679616 is a wasteful number, since it uses less digits than its factorization.

11316781679616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 756 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 63.

The spelling of 11316781679616 in words is "eleven trillion, three hundred sixteen billion, seven hundred eighty-one million, six hundred seventy-nine thousand, six hundred sixteen".