Search a number
-
+
2885555312640 = 21132571113311009
BaseRepresentation
bin101001111111011000011…
…111111101100000000000
3101012212010022101210020200
4221333120133331200000
5334234104130001030
610045334504405200
7415321515315330
oct51773037754000
911185108353220
102885555312640
11a12836825230
123a72a6776800
1317c150554aa0
149d9396c50c0
15500d7336d60
hex29fd87fd800

2885555312640 has 2304 divisors, whose sum is σ = 13874557132800. Its totient is φ = 535088332800.

The previous prime is 2885555312623. The next prime is 2885555312641. The reversal of 2885555312640 is 462135555882.

2885555312640 is a `hidden beast` number, since 2 + 8 + 85 + 5 + 5 + 531 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2885555312641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2859816456 + ... + 2859817464.

It is an arithmetic number, because the mean of its divisors is an integer number (6021943200).

Almost surely, 22885555312640 is an apocalyptic number.

2885555312640 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 2885555312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937278566400).

2885555312640 is an abundant number, since it is smaller than the sum of its proper divisors (10989001820160).

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

2885555312640 is a wasteful number, since it uses less digits than its factorization.

2885555312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 2885555312640 in words is "two trillion, eight hundred eighty-five billion, five hundred fifty-five million, three hundred twelve thousand, six hundred forty".