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268458708452 = 22112193193419
BaseRepresentation
bin1111101000000101100…
…0101100110111100100
3221122221100102101211212
43322001120230313210
513344300412132302
6323154521450552
725252441241204
oct3720130546744
9848840371755
10268458708452
11a3941a40100
1244042340a58
131c414347b9c
14cdca126404
156eb35d1052
hex3e8162cde4

268458708452 has 144 divisors (see below), whose sum is σ = 549211051200. Its totient is φ = 114730767360.

The previous prime is 268458708439. The next prime is 268458708473. The reversal of 268458708452 is 254807854862.

It is a happy number.

268458708452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 268458708391 and 268458708400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 640712699 + ... + 640713117.

Almost surely, 2268458708452 is an apocalyptic number.

268458708452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

268458708452 is an abundant number, since it is smaller than the sum of its proper divisors (280752342748).

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

268458708452 is a wasteful number, since it uses less digits than its factorization.

268458708452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 59.

The spelling of 268458708452 in words is "two hundred sixty-eight billion, four hundred fifty-eight million, seven hundred eight thousand, four hundred fifty-two".

Divisors: 1 2 4 11 19 22 38 44 76 121 193 209 242 361 386 418 419 484 722 772 836 838 1444 1676 2123 2299 3667 3971 4246 4598 4609 6859 7334 7942 7961 8492 9196 9218 13718 14668 15884 15922 18436 23353 27436 31844 40337 43681 46706 50699 69673 75449 80674 80867 87362 87571 93412 101398 139346 150898 151259 161348 161734 174724 175142 202796 278692 301796 302518 323468 350284 443707 605036 766403 829939 887414 889537 963281 1323787 1532806 1536473 1659878 1663849 1774828 1779074 1926562 2647574 2873921 3065612 3072946 3319756 3327698 3558148 3853124 5295148 5747842 6145892 6655396 8430433 9784907 11495684 14561657 16860866 16901203 18302339 19569814 29123314 29192987 31613131 33721732 33802406 36604678 39139628 58246628 58385974 63226262 67604812 73209356 116771948 126452524 160178227 185913233 320356454 321122857 347744441 371826466 554666753 640712908 642245714 695488882 743652932 1109333506 1284491428 1390977764 2218667012 3532351427 6101334283 7064702854 12202668566 14129405708 24405337132 67114677113 134229354226 268458708452