Search a number
-
+
44600866652160 = 21436571329283
BaseRepresentation
bin10100010010000011100101…
…10100000100000000000000
312211220210122002020021000000
422021001302310010000000
521321220033330332120
6234505204424000000
712252210024242430
oct1211016264040000
9184823562207000
1044600866652160
1113236137534895
125003b44000000
131bb6ac773c310
14b0299cc182c0
15525286b85990
hex289072d04000

44600866652160 has 3360 divisors, whose sum is σ = 205052803280640. Its totient is φ = 9053694590976.

The previous prime is 44600866652143. The next prime is 44600866652191. The reversal of 44600866652160 is 6125666800644.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×446008666521602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 44600866652097 and 44600866652106.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 157600235379 + ... + 157600235661.

It is an arithmetic number, because the mean of its divisors is an integer number (61027620024).

Almost surely, 244600866652160 is an apocalyptic number.

44600866652160 is a gapful number since it is divisible by the number (40) 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 44600866652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102526401640320).

44600866652160 is an abundant number, since it is smaller than the sum of its proper divisors (160451936628480).

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

44600866652160 is an equidigital number, since it uses as much as digits as its factorization.

44600866652160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 44600866652160 in words is "forty-four trillion, six hundred billion, eight hundred sixty-six million, six hundred fifty-two thousand, one hundred sixty".