Search a number
-
+
6364604965464 = 233479541922943
BaseRepresentation
bin101110010011110000000…
…0001001010001001011000
3211112110011021002212110000
41130213200001022021120
51313234202332343324
621311505324453000
71224553562404524
oct134474001121130
924473137085400
106364604965464
11203423963a499
128696053aa160
13372244984005
14180097214d84
15b08582bd9c9
hex5c9e004a258

6364604965464 has 160 divisors (see below), whose sum is σ = 18056560896000. Its totient is φ = 2094202289088.

The previous prime is 6364604965463. The next prime is 6364604965601. The reversal of 6364604965464 is 4645694064636.

6364604965464 is a `hidden beast` number, since 6 + 3 + 6 + 46 + 0 + 49 + 6 + 546 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6364604965463) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 277397977 + ... + 277420919.

It is an arithmetic number, because the mean of its divisors is an integer number (112853505600).

Almost surely, 26364604965464 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 6364604965464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9028280448000).

6364604965464 is an abundant number, since it is smaller than the sum of its proper divisors (11691955930536).

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

6364604965464 is a wasteful number, since it uses less digits than its factorization.

6364604965464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28459 (or 28446 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 63.

The spelling of 6364604965464 in words is "six trillion, three hundred sixty-four billion, six hundred four million, nine hundred sixty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 237 316 324 474 632 648 711 948 1422 1896 2133 2844 4266 5419 5688 6399 8532 10838 12798 16257 17064 21676 22943 25596 32514 43352 45886 48771 51192 65028 68829 91772 97542 130056 137658 146313 183544 195084 206487 275316 292626 390168 412974 428101 438939 550632 585252 619461 825948 856202 877878 1170504 1238922 1284303 1651896 1712404 1755756 1812497 1858383 2477844 2568606 3424808 3511512 3624994 3716766 3852909 4955688 5137212 5437491 7249988 7433532 7705818 10274424 10874982 11558727 14499976 14867064 15411636 16312473 21749964 23117454 30823272 32624946 34676181 43499928 46234908 48937419 65249892 69352362 92469816 97874838 124328117 130499784 138704724 146812257 195749676 248656234 277409448 293624514 372984351 391499352 497312468 587249028 745968702 994624936 1118953053 1174498056 1491937404 2237906106 2983874808 3356859159 4475812212 6713718318 8951624424 9821921243 10070577477 13427436636 19643842486 20141154954 26854873272 29465763729 39287684972 40282309908 58931527458 78575369944 80564619816 88397291187 117863054916 176794582374 235726109832 265191873561 353589164748 530383747122 707178329496 795575620683 1060767494244 1591151241366 2121534988488 3182302482732 6364604965464