Search a number
-
+
2244376689984 = 2633111331674373
BaseRepresentation
bin100000101010001111010…
…001100111110101000000
321221120010110200221221000
4200222033101213311000
5243232440413034414
64435015153332000
7321102514045002
oct40521721476500
97846113627830
102244376689984
11795920148a90
12302b85267000
1313384a5c6b90
147a8b250a372
153d5ac2bab09
hex20a8f467d40

2244376689984 has 896 divisors, whose sum is σ = 8122891714560. Its totient is φ = 598341427200.

The previous prime is 2244376689967. The next prime is 2244376690013. The reversal of 2244376689984 is 4899866734422.

2244376689984 is a `hidden beast` number, since 2 + 24 + 437 + 6 + 6 + 8 + 99 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 513232822 + ... + 513237194.

It is an arithmetic number, because the mean of its divisors is an integer number (9065727360).

Almost surely, 22244376689984 is an apocalyptic number.

2244376689984 is a gapful number since it is divisible by the number (24) 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 2244376689984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061445857280).

2244376689984 is an abundant number, since it is smaller than the sum of its proper divisors (5878515024576).

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

2244376689984 is a wasteful number, since it uses less digits than its factorization.

2244376689984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516 (or 4500 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 72.

The spelling of 2244376689984 in words is "two trillion, two hundred forty-four billion, three hundred seventy-six million, six hundred eighty-nine thousand, nine hundred eighty-four".