Search a number
-
+
663200024130 = 232572150385493
BaseRepresentation
bin10011010011010011100…
…11010100011001000010
32100101211112211221002200
421221221303110121002
541331213201233010
61224400410054030
765625500123100
oct11515163243102
92311745757080
10663200024130
112362971400a6
12a864841a316
134a7023641a7
1424155b2ac70
15123b84c5cc0
hex9a69cd4642

663200024130 has 72 divisors (see below), whose sum is σ = 2005841718972. Its totient is φ = 151588575936.

The previous prime is 663200024099. The next prime is 663200024153. The reversal of 663200024130 is 31420002366.

663200024130 is a `hidden beast` number, since 6 + 632 + 0 + 0 + 0 + 24 + 1 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 662086533969 + 1113490161 = 813687^2 + 33369^2 .

It is a junction number, because it is equal to n+sod(n) for n = 663200024094 and 663200024103.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75188337 + ... + 75197156.

Almost surely, 2663200024130 is an apocalyptic number.

663200024130 is an abundant number, since it is smaller than the sum of its proper divisors (1342641694842).

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

663200024130 is a wasteful number, since it uses less digits than its factorization.

663200024130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150385520 (or 150385510 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 663200024130 its reverse (31420002366), we get a palindrome (694620026496).

The spelling of 663200024130 in words is "six hundred sixty-three billion, two hundred million, twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 150385493 300770986 451156479 751927465 902312958 1052698451 1353469437 1503854930 2105396902 2255782395 2706938874 3158095353 4511564790 5263492255 6316190706 6767347185 7368889157 9474286059 10526984510 13534694370 14737778314 15790476765 18948572118 22106667471 31580953530 36844445785 44213334942 47371430295 66320002413 73688891570 94742860590 110533337355 132640004826 221066674710 331600012065 663200024130