Search a number
-
+
63643431330 = 232523109728027
BaseRepresentation
bin111011010001011100…
…011011000110100010
320002021102100021221100
4323101130123012202
52020320204300310
645123135335230
74412100145323
oct732134330642
9202242307840
1063643431330
1124a9a06aa36
1210402081516
13600353590b
14311a70a44a
1519c7542ec0
hexed171b1a2

63643431330 has 96 divisors (see below), whose sum is σ = 172830962304. Its totient is φ = 16218309888.

The previous prime is 63643431323. The next prime is 63643431331. The reversal of 63643431330 is 3313434636.

63643431330 is a `hidden beast` number, since 6 + 3 + 643 + 4 + 3 + 1 + 3 + 3 + 0 = 666.

63643431330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (63643431331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2256777 + ... + 2284803.

It is an arithmetic number, because the mean of its divisors is an integer number (1800322524).

Almost surely, 263643431330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63643431330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86415481152).

63643431330 is an abundant number, since it is smaller than the sum of its proper divisors (109187530974).

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

63643431330 is a wasteful number, since it uses less digits than its factorization.

63643431330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29160 (or 29157 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 63643431330 its reverse (3313434636), we get a palindrome (66956865966).

The spelling of 63643431330 in words is "sixty-three billion, six hundred forty-three million, four hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 1097 2070 2194 3291 5485 6582 9873 10970 16455 19746 25231 28027 32910 49365 50462 56054 75693 84081 98730 126155 140135 151386 168162 227079 252243 252310 280270 378465 420405 454158 504486 644621 756930 840810 1135395 1261215 1289242 1933863 2270790 2522430 3223105 3867726 5801589 6446210 9669315 11603178 19338630 29007945 30745619 58015890 61491238 92236857 153728095 184473714 276710571 307456190 461184285 553421142 707149237 922368570 1383552855 1414298474 2121447711 2767105710 3535746185 4242895422 6364343133 7071492370 10607238555 12728686266 21214477110 31821715665 63643431330