Search a number
-
+
266883454018624 = 26792258492
BaseRepresentation
bin111100101011101010100101…
…011110010010010001000000
31021222221210211210011021020011
4330223222211132102101000
5234440104303212043444
62343340322144354304
7110133456533241262
oct7453524536222100
91258853753137204
10266883454018624
1178045701179a23
1225b23974915994
13b5bc003a38a21
1449c9329c79b32
1520cc3b7713734
hexf2baa5792440

266883454018624 has 63 divisors (see below), whose sum is σ = 536406220933317. Its totient is φ = 131747494215168.

The previous prime is 266883454018567. The next prime is 266883454018631. The reversal of 266883454018624 is 426810454388662.

It is a happy number.

The square root of 266883454018624 is 16336568.

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., 3478344361024 + 263405109657600 = 1865032^2 + 16229760^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 266883454018624.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10324698052 + ... + 10324723900.

It is an arithmetic number, because the mean of its divisors is an integer number (8514384459259).

Almost surely, 2266883454018624 is an apocalyptic number.

266883454018624 is the 16336568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266883454018624

266883454018624 is an abundant number, since it is smaller than the sum of its proper divisors (269522766914693).

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

266883454018624 is an frugal number, since it uses more digits than its factorization.

266883454018624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51868 (or 25930 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 67.

The spelling of 266883454018624 in words is "two hundred sixty-six trillion, eight hundred eighty-three billion, four hundred fifty-four million, eighteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 79 158 316 632 1264 2528 5056 6241 12482 24964 25849 49928 51698 99856 103396 199712 206792 399424 413584 827168 1654336 2042071 4084142 8168284 16336568 32673136 65346272 130692544 161323609 322647218 645294436 668170801 1290588872 1336341602 2581177744 2672683204 5162355488 5345366408 10324710976 10690732816 21381465632 42762931264 52785493279 105570986558 211141973116 422283946232 844567892464 1689135784928 3378271569856 4170053969041 8340107938082 16680215876164 33360431752328 66720863504656 133441727009312 266883454018624