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8013472324 = 221121323132
BaseRepresentation
bin1110111011010001…
…11110001001000100
3202200110202120110021
413131220332021010
5112402422103244
63403100304524
7402403251034
oct73550761104
922613676407
108013472324
11344243a400
121677842144
139a927c300
145603b38c4
1531d7ac284
hex1dda3e244

8013472324 has 81 divisors (see below), whose sum is σ = 16744769559. Its totient is φ = 3351553920.

The previous prime is 8013472309. The next prime is 8013472373. The reversal of 8013472324 is 4232743108.

The square root of 8013472324 is 89518.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6339025924 + 1674446400 = 79618^2 + 40920^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8013472324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25601992 + ... + 25602304.

Almost surely, 28013472324 is an apocalyptic number.

8013472324 is the 89518-th square number.

It is an amenable number.

8013472324 is an abundant number, since it is smaller than the sum of its proper divisors (8731297235).

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

8013472324 is a wasteful number, since it uses less digits than its factorization.

8013472324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The cubic root of 8013472324 is about 2001.1220640351.

The spelling of 8013472324 in words is "eight billion, thirteen million, four hundred seventy-two thousand, three hundred twenty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 313 338 484 572 626 676 1252 1573 1859 3146 3443 3718 4069 6292 6886 7436 8138 13772 16276 20449 37873 40898 44759 52897 75746 81796 89518 97969 105794 151492 179036 195938 211588 391876 492349 581867 984698 1077659 1163734 1273597 1969396 2155318 2327468 2547194 4310636 5094388 6400537 11854249 12801074 14009567 16556761 23708498 25602148 28019134 33113522 47416996 56038268 66227044 154105237 182124371 308210474 364248742 616420948 728497484 2003368081 4006736162 8013472324