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11780713115136 = 29347833471409
BaseRepresentation
bin1010101101101110100100…
…1110000110111000000000
31112201020002011010011010000
42223123221032012320000
53021003400024141021
641015552423040000
72324062024155330
oct253335116067000
945636064104100
1011780713115136
113832199481639
1213a3220ba0000
13675bbb677904
142ca2922050c0
1515669b643b26
hexab6e9386e00

11780713115136 has 800 divisors, whose sum is σ = 40815830119680. Its totient is φ = 3313428332544.

The previous prime is 11780713115113. The next prime is 11780713115137. The reversal of 11780713115136 is 63151131708711.

11780713115136 is a `hidden beast` number, since 117 + 8 + 0 + 7 + 1 + 3 + 11 + 513 + 6 = 666.

It is a super-2 number, since 2×117807131151362 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11780713115091 and 11780713115100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11780713115137) 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, 8361044800 + ... + 8361046208.

Almost surely, 211780713115136 is an apocalyptic number.

11780713115136 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 11780713115136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20407915059840).

11780713115136 is an abundant number, since it is smaller than the sum of its proper divisors (29035117004544).

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

11780713115136 is an equidigital number, since it uses as much as digits as its factorization.

11780713115136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 11780713115136 in words is "eleven trillion, seven hundred eighty billion, seven hundred thirteen million, one hundred fifteen thousand, one hundred thirty-six".