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42662489401 = 7219215532
BaseRepresentation
bin100111101110111000…
…011110110100111001
311002010020000000100001
4213232320132310321
51144333044130101
631333205113001
73040134114400
oct475670366471
9132106000301
1042662489401
1117102954804
1283276b8761
13403b86458c
1420ca038637
15119a60c901
hex9eee1ed39

42662489401 has 27 divisors (see below), whose sum is σ = 52411004271. Its totient is φ = 34620917184.

The previous prime is 42662489393. The next prime is 42662489411. The reversal of 42662489401 is 10498426624.

The square root of 42662489401 is 206549.

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., 4334247225 + 38328242176 = 65835^2 + 195776^2 .

It is not a de Polignac number, because 42662489401 - 23 = 42662489393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42662489411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27470241 + ... + 27471793.

Almost surely, 242662489401 is an apocalyptic number.

42662489401 is the 206549-th square number.

42662489401 is the 103275-th centered octagonal number.

It is an amenable number.

42662489401 is a deficient number, since it is larger than the sum of its proper divisors (9748514870).

42662489401 is an frugal number, since it uses more digits than its factorization.

42662489401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 42662489401 in words is "forty-two billion, six hundred sixty-two million, four hundred eighty-nine thousand, four hundred one".

Divisors: 1 7 19 49 133 361 931 1553 2527 10871 17689 29507 76097 206549 560633 1445843 2411809 3924431 16882663 27471017 45824371 118178641 320770597 870663049 2245394179 6094641343 42662489401