Search a number
-
+
11910413352960 = 216355149579
BaseRepresentation
bin1010110101010001101111…
…1101010000000000000000
31120011121212011222220100000
42231110123331100000000
53030120011304243320
641155322433200000
72336333101043433
oct255243375200000
946147764886300
1011910413352960
1138821a5919a31
121404399400000
136851bb405975
142d267795d81a
15159c3cee3c90
hexad51bf50000

11910413352960 has 408 divisors, whose sum is σ = 42818630793120. Its totient is φ = 3176088993792.

The previous prime is 11910413352853. The next prime is 11910413352997. The reversal of 11910413352960 is 6925331401911.

11910413352960 is a `hidden beast` number, since 1 + 1 + 9 + 104 + 13 + 3 + 529 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 79551451 + ... + 79701029.

Almost surely, 211910413352960 is an apocalyptic number.

11910413352960 is a gapful number since it is divisible by the number (10) 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 11910413352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21409315396560).

11910413352960 is an abundant number, since it is smaller than the sum of its proper divisors (30908217440160).

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

11910413352960 is an frugal number, since it uses more digits than its factorization.

11910413352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149631 (or 149589 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 11910413352960 in words is "eleven trillion, nine hundred ten billion, four hundred thirteen million, three hundred fifty-two thousand, nine hundred sixty".