Search a number
-
+
11419699200 = 2113527131943
BaseRepresentation
bin10101010001010101…
…01100100000000000
31002110212011211022020
422220222230200000
5141341420333300
65125055441440
7552663561450
oct125052544000
932425154266
1011419699200
114930139038
122268526280
1310ccb75480
147a4921d60
1546c8448a0
hex2a8aac800

11419699200 has 1152 divisors, whose sum is σ = 50046796800. Its totient is φ = 2229534720.

The previous prime is 11419699133. The next prime is 11419699217. The reversal of 11419699200 is 299691411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265574379 + ... + 265574421.

It is an arithmetic number, because the mean of its divisors is an integer number (43443400).

Almost surely, 211419699200 is an apocalyptic number.

11419699200 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 11419699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25023398400).

11419699200 is an abundant number, since it is smaller than the sum of its proper divisors (38627097600).

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

11419699200 is a wasteful number, since it uses less digits than its factorization.

11419699200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The spelling of 11419699200 in words is "eleven billion, four hundred nineteen million, six hundred ninety-nine thousand, two hundred".