Search a number
-
+
11283694464 = 273719317127
BaseRepresentation
bin10101000001000111…
…11000001110000000
31002010101021001212210
422200203320032000
5141102111210324
65103400422120
7546422551260
oct124043701600
932111231783
1011283694464
114870395729
12222aa77940
1310aa9367b3
1479083b7a0
1546092bd29
hex2a08f8380

11283694464 has 256 divisors, whose sum is σ = 37225267200. Its totient is φ = 2955294720.

The previous prime is 11283694351. The next prime is 11283694493. The reversal of 11283694464 is 46449638211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1579669 + ... + 1586795.

It is an arithmetic number, because the mean of its divisors is an integer number (145411200).

Almost surely, 211283694464 is an apocalyptic number.

11283694464 is a gapful number since it is divisible by the number (14) 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 11283694464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18612633600).

11283694464 is an abundant number, since it is smaller than the sum of its proper divisors (25941572736).

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

11283694464 is a wasteful number, since it uses less digits than its factorization.

11283694464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7201 (or 7189 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 11283694464 in words is "eleven billion, two hundred eighty-three million, six hundred ninety-four thousand, four hundred sixty-four".