Search a number
-
+
2248051798512 = 24321322323143131
BaseRepresentation
bin100000101101101010010…
…101000011000111110000
321221220121121001211001200
4200231222111003013300
5243313002230023022
64440423555531200
7321262551001062
oct40555225030760
97856547054050
102248051798512
117974366a7463
1230382bbb9b00
13133cb4b13b00
147ab4064b732
153d724c66bac
hex20b6a5431f0

2248051798512 has 1080 divisors, whose sum is σ = 7579801861632. Its totient is φ = 620626406400.

The previous prime is 2248051798501. The next prime is 2248051798523. The reversal of 2248051798512 is 2158971508422.

It is a happy number.

2248051798512 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 0 + 51 + 79 + 8 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (2248051798501) and next prime (2248051798523).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 17160700687 + ... + 17160700817.

Almost surely, 22248051798512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248051798512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789900930816).

2248051798512 is an abundant number, since it is smaller than the sum of its proper divisors (5331750063120).

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

2248051798512 is a wasteful number, since it uses less digits than its factorization.

2248051798512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 2248051798512 in words is "two trillion, two hundred forty-eight billion, fifty-one million, seven hundred ninety-eight thousand, five hundred twelve".