Search a number
-
+
5664637872 = 2432711573529
BaseRepresentation
bin1010100011010001…
…11000001110110000
3112121210000102022200
411101220320032300
543100121402442
62334032503200
7260242425135
oct52150701660
915553012280
105664637872
1124475a4303
1211210aab00
136c376943a
143ba47258c
1523249134c
hex151a383b0

5664637872 has 120 divisors (see below), whose sum is σ = 16183383840. Its totient is φ = 1849236480.

The previous prime is 5664637871. The next prime is 5664637897. The reversal of 5664637872 is 2787364665.

5664637872 is a `hidden beast` number, since 566 + 4 + 6 + 3 + 7 + 8 + 72 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5664637871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1603404 + ... + 1606932.

It is an arithmetic number, because the mean of its divisors is an integer number (134861532).

Almost surely, 25664637872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5664637872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8091691920).

5664637872 is an abundant number, since it is smaller than the sum of its proper divisors (10518745968).

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

5664637872 is a wasteful number, since it uses less digits than its factorization.

5664637872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3762 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 5664637872 is about 75263.7885838867. The cubic root of 5664637872 is about 1782.6142908947.

The spelling of 5664637872 in words is "five billion, six hundred sixty-four million, six hundred thirty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 157 213 284 314 426 471 568 628 639 852 942 1136 1256 1278 1413 1704 1884 2512 2556 2826 3408 3529 3768 5112 5652 7058 7536 10224 10587 11147 11304 14116 21174 22294 22608 28232 31761 33441 42348 44588 56464 63522 66882 84696 89176 100323 127044 133764 169392 178352 200646 250559 254088 267528 401292 501118 508176 535056 554053 751677 802584 1002236 1108106 1503354 1605168 1662159 2004472 2216212 2255031 3006708 3324318 4008944 4432424 4510062 4986477 6013416 6648636 8864848 9020124 9972954 12026832 13297272 18040248 19945908 26594544 36080496 39337763 39891816 78675526 79783632 118013289 157351052 236026578 314702104 354039867 472053156 629404208 708079734 944106312 1416159468 1888212624 2832318936 5664637872