Search a number
-
+
13352030604 = 2235113733751
BaseRepresentation
bin11000110111101011…
…11101000110001100
31021110112012102200000
430123311331012030
5204321104434404
610044524204300
7651606246633
oct143365750614
937415172600
1013352030604
115731967240
122707699690
13134a2b9233
1490940451a
155322dc339
hex31bd7d18c

13352030604 has 144 divisors (see below), whose sum is σ = 39216043776. Its totient is φ = 3936600000.

The previous prime is 13352030581. The next prime is 13352030609. The reversal of 13352030604 is 40603025331.

It is a happy number.

13352030604 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 20 + 30 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13352030609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378729 + ... + 412479.

Almost surely, 213352030604 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 13352030604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19608021888).

13352030604 is an abundant number, since it is smaller than the sum of its proper divisors (25864013172).

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

13352030604 is a wasteful number, since it uses less digits than its factorization.

13352030604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33818 (or 33804 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 13352030604 its reverse (40603025331), we get a palindrome (53955055935).

The spelling of 13352030604 in words is "thirteen billion, three hundred fifty-two million, thirty thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 81 99 108 111 132 148 162 198 222 243 297 324 333 396 407 444 486 594 666 814 891 972 999 1188 1221 1332 1628 1782 1998 2442 2673 2997 3564 3663 3996 4884 5346 5994 7326 8991 10692 10989 11988 14652 17982 21978 32967 33751 35964 43956 65934 67502 98901 101253 131868 135004 197802 202506 303759 371261 395604 405012 607518 742522 911277 1113783 1215036 1248787 1485044 1822554 2227566 2497574 2733831 3341349 3645108 3746361 4455132 4995148 5467662 6682698 7492722 8201493 10024047 10935324 11239083 13365396 13736657 14985444 16402986 20048094 22478166 27473314 30072141 32805972 33717249 40096188 41209971 44956332 54946628 60144282 67434498 82419942 90216423 101151747 120288564 123629913 134868996 164839884 180432846 202303494 247259826 303455241 360865692 370889739 404606988 494519652 606910482 741779478 1112669217 1213820964 1483558956 2225338434 3338007651 4450676868 6676015302 13352030604