Search a number
-
+
2187383262720 = 29351937405143
BaseRepresentation
bin11111110101001010001…
…100111100111000000000
321202010000111111212121120
4133311022030330320000
5241314230103401340
64352511530352240
7314014252646325
oct37651214747000
97663014455546
102187383262720
11773733910587
122b3b1a28b680
1312b366a12b16
1477c27090b4c
153bd739a94d0
hex1fd4a33ce00

2187383262720 has 320 divisors, whose sum is σ = 7559792570880. Its totient is φ = 537665568768.

The previous prime is 2187383262719. The next prime is 2187383262761. The reversal of 2187383262720 is 272623837812.

It is a tau number, because it is divible by the number of its divisors (320).

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, 5196469 + ... + 5601611.

It is an arithmetic number, because the mean of its divisors is an integer number (23624351784).

Almost surely, 22187383262720 is an apocalyptic number.

2187383262720 is a gapful number since it is divisible by the number (20) 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 2187383262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779896285440).

2187383262720 is an abundant number, since it is smaller than the sum of its proper divisors (5372409308160).

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

2187383262720 is a wasteful number, since it uses less digits than its factorization.

2187383262720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405225 (or 405209 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 2187383262720 in words is "two trillion, one hundred eighty-seven billion, three hundred eighty-three million, two hundred sixty-two thousand, seven hundred twenty".