Search a number
-
+
11900497217868 = 223272331531249681
BaseRepresentation
bin1010110100101100110011…
…1010001100100101001100
31120010200021010001001020100
42231023030322030211030
53024434204241432433
641151002444051100
72335532262222540
oct255131472144514
946120233031210
1011900497217868
113878a77485966
121402490533a90
1368429abccacc
142d1db69cba20
1515985c69eb13
hexad2cce8c94c

11900497217868 has 288 divisors, whose sum is σ = 37729919066112. Its totient is φ = 3088009267200.

The previous prime is 11900497217849. The next prime is 11900497217927. The reversal of 11900497217868 is 86871279400911.

11900497217868 is a `hidden beast` number, since 1 + 19 + 0 + 0 + 497 + 2 + 1 + 78 + 68 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8897988 + ... + 10147668.

It is an arithmetic number, because the mean of its divisors is an integer number (131006663424).

Almost surely, 211900497217868 is an apocalyptic number.

11900497217868 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 11900497217868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18864959533056).

11900497217868 is an abundant number, since it is smaller than the sum of its proper divisors (25829421848244).

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

11900497217868 is a wasteful number, since it uses less digits than its factorization.

11900497217868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249805 (or 1249800 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 11900497217868 in words is "eleven trillion, nine hundred billion, four hundred ninety-seven million, two hundred seventeen thousand, eight hundred sixty-eight".