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2543313504 = 25323261821
BaseRepresentation
bin1001011110010111…
…1110001001100000
320120020200201020110
42113211332021200
520202042013004
61100212011320
7120011544114
oct22745761140
96506621213
102543313504
1110956a8096
125ab900b40
13316bb6244
141a1ac7744
15ed434589
hex9797e260

2543313504 has 144 divisors (see below), whose sum is σ = 7102139184. Its totient is φ = 796646400.

The previous prime is 2543313467. The next prime is 2543313569. The reversal of 2543313504 is 4053133452.

2543313504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 3097414 + ... + 3098234.

It is an arithmetic number, because the mean of its divisors is an integer number (49320411).

Almost surely, 22543313504 is an apocalyptic number.

2543313504 is a gapful number since it is divisible by the number (24) 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 2543313504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551069592).

2543313504 is an abundant number, since it is smaller than the sum of its proper divisors (4558825680).

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

2543313504 is a wasteful number, since it uses less digits than its factorization.

2543313504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 2543313504 is about 50431.2750582414. The cubic root of 2543313504 is about 1365.0020357146.

Adding to 2543313504 its reverse (4053133452), we get a palindrome (6596446956).

The spelling of 2543313504 in words is "two billion, five hundred forty-three million, three hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 61 69 92 96 122 138 183 184 244 276 366 368 488 529 552 732 736 821 976 1058 1104 1403 1464 1587 1642 1952 2116 2208 2463 2806 2928 3174 3284 4209 4232 4926 5612 5856 6348 6568 8418 8464 9852 11224 12696 13136 16836 16928 18883 19704 22448 25392 26272 32269 33672 37766 39408 44896 50081 50784 56649 64538 67344 75532 78816 96807 100162 113298 129076 134688 150243 151064 193614 200324 226596 258152 300486 302128 387228 400648 434309 453192 516304 600972 604256 774456 801296 868618 906384 1032608 1151863 1201944 1302927 1548912 1602592 1737236 1812768 2303726 2403888 2605854 3097824 3455589 3474472 4607452 4807776 5211708 6911178 6948944 9214904 10423416 13822356 13897888 18429808 20846832 26492849 27644712 36859616 41693664 52985698 55289424 79478547 105971396 110578848 158957094 211942792 317914188 423885584 635828376 847771168 1271656752 2543313504