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2418447968 = 25436128813
BaseRepresentation
bin1001000000100110…
…1001011001100000
320020112201212220222
42100021221121200
514423110313333
61035551422212
7113634316466
oct22011513140
96215655828
102418447968
111031172832
12575b24968
132c7077801
1418d2a2836
15e24bc298
hex90269660

2418447968 has 48 divisors (see below), whose sum is σ = 4952089296. Its totient is φ = 1161699840.

The previous prime is 2418447961. The next prime is 2418447973. The reversal of 2418447968 is 8697448142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2418447961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69530 + ... + 98342.

It is an arithmetic number, because the mean of its divisors is an integer number (103168527).

Almost surely, 22418447968 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 2418447968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476044648).

2418447968 is an abundant number, since it is smaller than the sum of its proper divisors (2533641328).

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

2418447968 is a wasteful number, since it uses less digits than its factorization.

2418447968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28927 (or 28919 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 53.

The square root of 2418447968 is about 49177.7182065211. The cubic root of 2418447968 is about 1342.2876139183.

The spelling of 2418447968 in words is "two billion, four hundred eighteen million, four hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 61 86 122 172 244 344 488 688 976 1376 1952 2623 5246 10492 20984 28813 41968 57626 83936 115252 230504 461008 922016 1238959 1757593 2477918 3515186 4955836 7030372 9911672 14060744 19823344 28121488 39646688 56242976 75576499 151152998 302305996 604611992 1209223984 2418447968