Search a number
-
+
11008704000 = 2935378191
BaseRepresentation
bin10100100000010101…
…10111111000000000
31001102012211002212210
422100022313320000
5140021212012000
65020214422120
7536543303640
oct122012677000
931365732783
1011008704000
11473a143288
122172961940
131065984348
147660d8520
1544670d350
hex2902b7e00

11008704000 has 320 divisors, whose sum is σ = 41835036672. Its totient is φ = 2515968000.

The previous prime is 11008703983. The next prime is 11008704011. The reversal of 11008704000 is 40780011.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1339905 + ... + 1348095.

Almost surely, 211008704000 is an apocalyptic number.

11008704000 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 11008704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20917518336).

11008704000 is an abundant number, since it is smaller than the sum of its proper divisors (30826332672).

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

11008704000 is an frugal number, since it uses more digits than its factorization.

11008704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8234 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The spelling of 11008704000 in words is "eleven billion, eight million, seven hundred four thousand".