Search a number
-
+
5657937764164 = 227271223932
BaseRepresentation
bin101001001010101011101…
…0111101101111101000100
3202000220010102002112220121
41102111113113231331010
51220144424031423124
620011115402111324
71122525654324400
oct122252727557504
922026112075817
105657937764164
111891577402884
12774667aab544
13320706153a5a
14157bba664100
159c298c392e4
hex525575edf44

5657937764164 has 81 divisors (see below), whose sum is σ = 11687338129341. Its totient is φ = 2389678898880.

The previous prime is 5657937764159. The next prime is 5657937764183. The reversal of 5657937764164 is 4614677397565.

The square root of 5657937764164 is 2378642.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 117600984900 + 5540336779264 = 342930^2 + 2353792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5657937764093 and 5657937764102.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2364368952 + ... + 2364371344.

Almost surely, 25657937764164 is an apocalyptic number.

5657937764164 is the 2378642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5657937764164

5657937764164 is an abundant number, since it is smaller than the sum of its proper divisors (6029400365177).

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

5657937764164 is an frugal number, since it uses more digits than its factorization.

5657937764164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 2473 counting only the distinct ones).

The product of its digits is 800150400, while the sum is 70.

The spelling of 5657937764164 in words is "five trillion, six hundred fifty-seven billion, nine hundred thirty-seven million, seven hundred sixty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 71 98 142 196 284 497 994 1988 2393 3479 4786 5041 6958 9572 10082 13916 16751 20164 33502 35287 67004 70574 117257 141148 169903 234514 247009 339806 469028 494018 679612 988036 1189321 2378642 4757284 5726449 8325247 11452898 12063113 16650494 22905796 24126226 33300988 40085143 48252452 80170286 84441791 160340572 168883582 280596001 337767164 406577879 561192002 591092537 813155758 1122384004 1182185074 1626311516 2364370148 2846045153 5692090306 11384180612 19922316071 28867029409 39844632142 57734058818 79689264284 115468117636 202069205863 404138411726 808276823452 1414484441041 2828968882082 5657937764164