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11696744860416 = 283672113312
BaseRepresentation
bin1010101000110101110001…
…0100101000101100000000
31112102012100021000212000000
42222031130110220230000
53013114413141013131
640513224352000000
72315030145605100
oct252153424505400
945365307025000
1011696744860416
1137aa61a5a4000
12138aaa8230000
1366acc93878a5
142c61a841b200
151543d4ac0ce6
hexaa35c528b00

11696744860416 has 2268 divisors, whose sum is σ = 46281373912872. Its totient is φ = 2940111820800.

The previous prime is 11696744860397. The next prime is 11696744860429. The reversal of 11696744860416 is 61406844769611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11696744860416 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 6 + 7 + 4 + 4 + 8 + 604 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (2268).

It is a super-2 number, since 2×116967448604162 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 377314350321 + ... + 377314350351.

Almost surely, 211696744860416 is an apocalyptic number.

11696744860416 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 11696744860416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23140686956436).

11696744860416 is an abundant number, since it is smaller than the sum of its proper divisors (34584629052456).

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

11696744860416 is an frugal number, since it uses more digits than its factorization.

11696744860416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 11696744860416 in words is "eleven trillion, six hundred ninety-six billion, seven hundred forty-four million, eight hundred sixty thousand, four hundred sixteen".