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5201606564 = 2272113127157
BaseRepresentation
bin1001101100000101…
…00011011110100100
3111102111201222202222
410312002203132210
541123102402224
62220052251512
7242620632500
oct46602433644
914374658688
105201606564
11222a198000
121012010b98
1364b85920b
14374b81300
152069cbb5e
hex1360a37a4

5201606564 has 144 divisors (see below), whose sum is σ = 11813566464. Its totient is φ = 1997835840.

The previous prime is 5201606537. The next prime is 5201606567. The reversal of 5201606564 is 4656061025.

It is not an unprimeable number, because it can be changed into a prime (5201606567) 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, 33131174 + ... + 33131330.

It is an arithmetic number, because the mean of its divisors is an integer number (82038656).

Almost surely, 25201606564 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 5201606564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906783232).

5201606564 is an abundant number, since it is smaller than the sum of its proper divisors (6611959900).

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

5201606564 is a wasteful number, since it uses less digits than its factorization.

5201606564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 5201606564 is about 72122.1641660870. The cubic root of 5201606564 is about 1732.6566113569.

Adding to 5201606564 its reverse (4656061025), we get a palindrome (9857667589).

The spelling of 5201606564 in words is "five billion, two hundred one million, six hundred six thousand, five hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 127 154 157 196 242 254 308 314 484 508 539 628 847 889 1078 1099 1331 1397 1694 1727 1778 2156 2198 2662 2794 3388 3454 3556 4396 5324 5588 5929 6223 6908 7693 9317 9779 11858 12089 12446 15367 15386 18634 18997 19558 19939 23716 24178 24892 30734 30772 37268 37994 39116 39878 48356 61468 65219 68453 75988 79756 84623 107569 130438 132979 136906 139573 169037 169246 208967 215138 219329 260876 265958 273812 279146 338074 338492 417934 430276 438658 531916 558292 676148 752983 835868 877316 930853 977011 1183259 1462769 1505966 1535303 1861706 1954022 2366518 2412619 2925538 3011932 3070606 3723412 3908044 4733036 4825238 5851076 6141212 8282813 9650476 10239383 10747121 16565626 16888333 20478766 21494242 26538809 33131252 33776666 40957532 42988484 53077618 67553332 106155236 118218331 185771663 236436662 371543326 472873324 743086652 1300401641 2600803282 5201606564