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5709011364 = 2232742572
BaseRepresentation
bin1010101000100100…
…01001100110100100
3112201212111211022100
411110102021212210
543143001330424
62342255532100
7261321540000
oct52422114644
915655454270
105709011364
11246a651811
121133b2a030
136cca04844
143c2303700
15236308dc9
hex1544899a4

5709011364 has 135 divisors (see below), whose sum is σ = 16901057537. Its totient is φ = 1624799232.

The previous prime is 5709011353. The next prime is 5709011443. The reversal of 5709011364 is 4631109075.

The square root of 5709011364 is 75558.

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., 5620500900 + 88510464 = 74970^2 + 9408^2 .

It is a super-2 number, since 2×57090113642 = 65185621508562280992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22213924 + ... + 22214180.

Almost surely, 25709011364 is an apocalyptic number.

5709011364 is the 75558-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5709011364

5709011364 is an abundant number, since it is smaller than the sum of its proper divisors (11192046173).

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

5709011364 is an equidigital number, since it uses as much as digits as its factorization.

5709011364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The cubic root of 5709011364 is about 1787.2568454945.

Multiplying 5709011364 by its sum of digits (36), we get a square (205524409104 = 4533482).

5709011364 divided by its sum of digits (36) gives a square (158583649 = 125932).

The spelling of 5709011364 in words is "five billion, seven hundred nine million, eleven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 257 294 343 441 514 588 686 771 882 1028 1029 1372 1542 1764 1799 2058 2313 2401 3084 3087 3598 4116 4626 4802 5397 6174 7196 7203 9252 9604 10794 12348 12593 14406 16191 21588 21609 25186 28812 32382 37779 43218 50372 64764 66049 75558 86436 88151 113337 132098 151116 176302 198147 226674 264196 264453 352604 396294 453348 462343 528906 594441 617057 792588 793359 924686 1057812 1188882 1234114 1387029 1586718 1849372 1851171 2377764 2468228 2774058 3173436 3236401 3702342 4161087 5548116 5553513 6472802 7404684 8322174 9709203 11107026 12945604 16644348 19418406 22214052 22654807 29127609 38836812 45309614 58255218 67964421 90619228 116510436 135928842 158583649 203893263 271857684 317167298 407786526 475750947 634334596 815573052 951501894 1427252841 1903003788 2854505682 5709011364