Search a number
-
+
11390174208 = 210337229257
BaseRepresentation
bin10101001101110100…
…00100010000000000
31002101210121210122000
422212322010100000
5141311341033313
65122122544000
7552154611660
oct124672042000
932353553560
1011390174208
114915502516
12225a668000
1310c6a0876a
147a0a381a0
15469e61673
hex2a6e84400

11390174208 has 352 divisors, whose sum is σ = 38870073600. Its totient is φ = 3227516928.

The previous prime is 11390174177. The next prime is 11390174221. The reversal of 11390174208 is 80247109311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 44319616 + ... + 44319872.

Almost surely, 211390174208 is an apocalyptic number.

11390174208 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 11390174208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19435036800).

11390174208 is an abundant number, since it is smaller than the sum of its proper divisors (27479899392).

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

11390174208 is a wasteful number, since it uses less digits than its factorization.

11390174208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11390174208 in words is "eleven billion, three hundred ninety million, one hundred seventy-four thousand, two hundred eight".