Search a number
-
+
291740919808 = 2111323132693
BaseRepresentation
bin1000011111011010001…
…11010010100000000000
31000220000221000021122011
410033231013102200000
514234441133413213
6342005100222304
730035416621342
oct4175507224000
91026027007564
10291740919808
111027aa164098
124865b53a994
1321684a17100
14101982b7292
1578c758903d
hex43ed1d2800

291740919808 has 144 divisors (see below), whose sum is σ = 633916761660. Its totient is φ = 134169624576.

The previous prime is 291740919781. The next prime is 291740919857. The reversal of 291740919808 is 808919047192.

It can be written as a sum of positive squares in 6 ways, for example, as 2663424 + 291738256384 = 1632^2 + 540128^2 .

It is a super-2 number, since 2×2917409198082 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108331710 + ... + 108334402.

Almost surely, 2291740919808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 291740919808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316958380830).

291740919808 is an abundant number, since it is smaller than the sum of its proper divisors (342175841852).

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

291740919808 is a wasteful number, since it uses less digits than its factorization.

291740919808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 58.

The spelling of 291740919808 in words is "two hundred ninety-one billion, seven hundred forty million, nine hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 313 338 416 512 626 676 832 1024 1252 1352 1664 2048 2504 2693 2704 3328 4069 5008 5386 5408 6656 8138 10016 10772 10816 13312 16276 20032 21544 21632 26624 32552 35009 40064 43088 43264 52897 65104 70018 80128 86176 86528 105794 130208 140036 160256 172352 173056 211588 260416 280072 320512 344704 346112 423176 455117 520832 560144 641024 689408 842909 846352 910234 1041664 1120288 1378816 1685818 1692704 1820468 2083328 2240576 2757632 3371636 3385408 3640936 4166656 4481152 5515264 6743272 6770816 7281872 8333312 8962304 10957817 13486544 13541632 14563744 17924608 21915634 26973088 27083264 29127488 35849216 43831268 53946176 54166528 58254976 71698432 87662536 107892352 108333056 116509952 142451621 175325072 215784704 233019904 284903242 350650144 431569408 466039808 569806484 701300288 863138816 932079616 1139612968 1402600576 1726277632 2279225936 2805201152 4558451872 5610402304 9116903744 11220804608 18233807488 22441609216 36467614976 72935229952 145870459904 291740919808