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5642563689 = 3276732
BaseRepresentation
bin1010100000101001…
…01011000001101001
3112120020110221020100
411100110223001221
543023444014224
62331523420013
7256554000000
oct52024530151
915506427210
105642563689
112436097684
121115824609
136bc00aba9
143b7567c37
15230580ac9
hex15052b069

5642563689 has 63 divisors (see below), whose sum is σ = 9640794423. Its totient is φ = 3180153312.

The previous prime is 5642563681. The next prime is 5642563691. The reversal of 5642563689 is 9863652465.

The square root of 5642563689 is 75117.

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., 3202994025 + 2439569664 = 56595^2 + 49392^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 5642563689 - 23 = 5642563681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5642563681) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 77295357 + ... + 77295429.

Almost surely, 25642563689 is an apocalyptic number.

5642563689 is the 75117-th square number.

5642563689 is the 37559-th centered octagonal number.

It is an amenable number.

5642563689 is a deficient number, since it is larger than the sum of its proper divisors (3998230734).

5642563689 is an frugal number, since it uses more digits than its factorization.

5642563689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 83 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The cubic root of 5642563689 is about 1780.2957562045.

The spelling of 5642563689 in words is "five billion, six hundred forty-two million, five hundred sixty-three thousand, six hundred eighty-nine".

Divisors: 1 3 7 9 21 49 63 73 147 219 343 441 511 657 1029 1533 2401 3087 3577 4599 5329 7203 10731 15987 16807 21609 25039 32193 37303 47961 50421 75117 111909 117649 151263 175273 225351 261121 335727 352947 525819 783363 1058841 1226911 1577457 1827847 2350089 3680733 5483541 8588377 11042199 12794929 16450623 25765131 38384787 77295393 89564503 115154361 268693509 626951521 806080527 1880854563 5642563689