Search a number
-
+
1093439738720 = 25574130777563
BaseRepresentation
bin11111110100101100001…
…01100101001101100000
310212112100200202222001202
433322112011211031200
5120403331033114340
62154152544220332
7141666312266240
oct17722605451540
93775320688052
101093439738720
113917a825465a
12157aba90a6a8
137c159918574
143accc0d7b20
151d699a99c15
hexfe96165360

1093439738720 has 192 divisors, whose sum is σ = 3034184541696. Its totient is φ = 364553809920.

The previous prime is 1093439738701. The next prime is 1093439738773. The reversal of 1093439738720 is 278379343901.

1093439738720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10934397387202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 14058659 + ... + 14136221.

It is an arithmetic number, because the mean of its divisors is an integer number (15803044488).

Almost surely, 21093439738720 is an apocalyptic number.

1093439738720 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 1093439738720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517092270848).

1093439738720 is an abundant number, since it is smaller than the sum of its proper divisors (1940744802976).

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

1093439738720 is a wasteful number, since it uses less digits than its factorization.

1093439738720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77933 (or 77925 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 56.

The spelling of 1093439738720 in words is "one trillion, ninety-three billion, four hundred thirty-nine million, seven hundred thirty-eight thousand, seven hundred twenty".