Search a number
-
+
5646323034 = 23211436311051
BaseRepresentation
bin1010100001000110…
…00000110101011010
3112120111112221002100
411100203000311122
543030424314114
62332140144230
7256630645122
oct52043006532
915514487070
105646323034
112438225080
121116b38076
136bca26061
143b7c65c82
15230a74909
hex1508c0d5a

5646323034 has 96 divisors (see below), whose sum is σ = 13690879488. Its totient is φ = 1666980000.

The previous prime is 5646323027. The next prime is 5646323047. The reversal of 5646323034 is 4303236465.

5646323034 is a `hidden beast` number, since 5 + 646 + 3 + 2 + 3 + 0 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5646323034.

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 47 ways as a sum of consecutive naturals, for example, 5371809 + ... + 5372859.

It is an arithmetic number, because the mean of its divisors is an integer number (142613328).

Almost surely, 25646323034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5646323034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845439744).

5646323034 is an abundant number, since it is smaller than the sum of its proper divisors (8044556454).

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

5646323034 is a wasteful number, since it uses less digits than its factorization.

5646323034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 5646323034 is about 75142.0190971736. The cubic root of 5646323034 is about 1780.6910410742.

Adding to 5646323034 its reverse (4303236465), we get a palindrome (9949559499).

It can be divided in two parts, 56463 and 23034, that added together give a palindrome (79497).

The spelling of 5646323034 in words is "five billion, six hundred forty-six million, three hundred twenty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 631 774 946 1051 1262 1419 1893 2102 2838 3153 3786 4257 5679 6306 6941 8514 9459 11358 11561 13882 18918 20823 23122 27133 34683 41646 45193 54266 62469 69366 81399 90386 104049 124938 135579 162798 208098 244197 271158 298463 406737 488394 497123 596926 663181 813474 895389 994246 1326362 1491369 1790778 1989543 2686167 2982738 3979086 4474107 5372334 5968629 7294991 8948214 11937258 14589982 21884973 28516783 43769946 57033566 65654919 85550349 131309838 171100698 256651047 313684613 513302094 627369226 941053839 1882107678 2823161517 5646323034