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2426952705424 = 24132299592
BaseRepresentation
bin100011010100010001101…
…001110110010110010000
322121000101111200112000221
4203110101221312112100
5304230344343033144
65054532055122424
7340225102423132
oct43242151662620
98530344615027
102426952705424
118562a0593745
12332439673414
13147b25b34400
14856724a3052
15431e5c17d84
hex23511a76590

2426952705424 has 45 divisors (see below), whose sum is σ = 5091923919393. Its totient is φ = 1120094629056.

The previous prime is 2426952705421. The next prime is 2426952705439. The reversal of 2426952705424 is 4245072596242.

It is a happy number.

The square root of 2426952705424 is 1557868.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 359016672400 + 2067936033024 = 599180^2 + 1438032^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2426952705421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80994157 + ... + 81024115.

Almost surely, 22426952705424 is an apocalyptic number.

2426952705424 is the 1557868-th square number.

It is an amenable number.

2426952705424 is an abundant number, since it is smaller than the sum of its proper divisors (2664971213969).

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

2426952705424 is an frugal number, since it uses more digits than its factorization.

2426952705424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59952 (or 29974 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 52.

The spelling of 2426952705424 in words is "two trillion, four hundred twenty-six billion, nine hundred fifty-two million, seven hundred five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 29959 59918 119836 239672 389467 479344 778934 1557868 3115736 5063071 6231472 10126142 20252284 40504568 81009136 897541681 1795083362 3590166724 7180333448 11668041853 14360666896 23336083706 46672167412 93344334824 151684544089 186688669648 303369088178 606738176356 1213476352712 2426952705424