Search a number
-
+
639593664516 = 223241232512
BaseRepresentation
bin10010100111010101100…
…00001101000000000100
32021010220101022121111100
421103222300031000010
540434341434231031
61205454131540100
764131504306162
oct11235260150004
92233811277440
10639593664516
11227282a49794
12a3b5a75a630
134840c790871
1422d568bc232
1511985d3dde6
hex94eac0d004

639593664516 has 81 divisors (see below), whose sum is σ = 1657655264629. Its totient is φ = 207933960000.

The previous prime is 639593664511. The next prime is 639593664559. The reversal of 639593664516 is 615466395936.

It is a happy number.

The square root of 639593664516 is 799746.

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

639593664516 is a `hidden beast` number, since 6 + 3 + 9 + 59 + 3 + 6 + 64 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30819206916 + 608774457600 = 175554^2 + 780240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (639593664511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 196735891 + ... + 196739141.

Almost surely, 2639593664516 is an apocalyptic number.

639593664516 is the 799746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 639593664516

639593664516 is an abundant number, since it is smaller than the sum of its proper divisors (1018061600113).

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

639593664516 is an equidigital number, since it uses as much as digits as its factorization.

639593664516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6594 (or 3297 counting only the distinct ones).

The product of its digits is 94478400, while the sum is 63.

The spelling of 639593664516 in words is "six hundred thirty-nine billion, five hundred ninety-three million, six hundred sixty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1681 3251 3362 5043 6502 6724 9753 10086 13004 15129 19506 20172 29259 30258 39012 58518 60516 117036 133291 266582 399873 533164 799746 1199619 1599492 2399238 4798476 5464931 10569001 10929862 16394793 21138002 21859724 31707003 32789586 42276004 49184379 63414006 65579172 95121009 98368758 126828012 190242018 196737516 380484036 433329041 866658082 1299987123 1733316164 2599974246 3899961369 5199948492 7799922738 15599845476 17766490681 35532981362 53299472043 71065962724 106598944086 159898416129 213197888172 319796832258 639593664516