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5665022496 = 253372133811
BaseRepresentation
bin1010100011010100…
…10110001000100000
3112121210201221221000
411101222112020200
543100221204441
62334045032000
7260245616400
oct52152261040
915553657830
105665022496
112447837281
121121255600
136c3872523
143ba532800
1523251a2b6
hex151a96220

5665022496 has 144 divisors (see below), whose sum is σ = 19220755680. Its totient is φ = 1618565760.

The previous prime is 5665022459. The next prime is 5665022537. The reversal of 5665022496 is 6942205665.

It is a happy number.

5665022496 is a `hidden beast` number, since 56 + 6 + 502 + 2 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24570 + ... + 109241.

It is an arithmetic number, because the mean of its divisors is an integer number (133477470).

Almost surely, 25665022496 is an apocalyptic number.

5665022496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5665022496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9610377840).

5665022496 is an abundant number, since it is smaller than the sum of its proper divisors (13555733184).

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

5665022496 is a wasteful number, since it uses less digits than its factorization.

5665022496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133844 (or 133823 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 5665022496 is about 75266.3437135085. The cubic root of 5665022496 is about 1782.6546359698.

The spelling of 5665022496 in words is "five billion, six hundred sixty-five million, twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 133811 267622 401433 535244 802866 936677 1070488 1204299 1605732 1873354 2140976 2408598 2810031 3211464 3612897 3746708 4281952 4817196 5620062 6422928 6556739 7225794 7493416 8430093 9634392 11240124 12845856 13113478 14451588 14986832 16860186 19268784 19670217 22480248 25290279 26226956 28903176 29973664 33720372 38537568 39340434 44960496 50580558 52453912 57806352 59010651 67440744 78680868 89920992 101161116 104907824 115612704 118021302 134881488 157361736 177031953 202322232 209815648 236042604 269762976 314723472 354063906 404644464 472085208 629446944 708127812 809288928 944170416 1416255624 1888340832 2832511248 5665022496