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41749268848 = 2471731222817
BaseRepresentation
bin100110111000011100…
…110100100101110000
310222202120121121020121
4212320130310211300
51141000303100343
631102423420024
73005404633660
oct467034644560
9128676547217
1041749268848
1116784412681
1281118b4614
133c245bc4a1
142040a3a1a0
15114536daed
hex9b8734970

41749268848 has 120 divisors (see below), whose sum is σ = 101146535136. Its totient is φ = 16296099840.

The previous prime is 41749268839. The next prime is 41749268849. The reversal of 41749268848 is 84886294714.

It is a super-3 number, since 3×417492688483 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41749268849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1818336 + ... + 1841152.

Almost surely, 241749268848 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 41749268848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50573267568).

41749268848 is an abundant number, since it is smaller than the sum of its proper divisors (59397266288).

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

41749268848 is a wasteful number, since it uses less digits than its factorization.

41749268848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22911 (or 22874 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 61.

The spelling of 41749268848 in words is "forty-one billion, seven hundred forty-nine million, two hundred sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 31 34 56 62 68 112 119 124 136 217 238 248 272 434 476 496 527 868 952 961 1054 1736 1904 1922 2108 3472 3689 3844 4216 6727 7378 7688 8432 13454 14756 15376 16337 22817 26908 29512 32674 45634 53816 59024 65348 91268 107632 114359 130696 159719 182536 228718 261392 319438 365072 387889 457436 638876 707327 775778 914872 1277752 1414654 1551556 1829744 2555504 2715223 2829308 3103112 4951289 5430446 5658616 6206224 9902578 10860892 11317232 12024559 19805156 21721784 21927137 24049118 39610312 43443568 43854274 48098236 79220624 84171913 87708548 96196472 153489959 168343826 175417096 192392944 306979918 336687652 350834192 372761329 613959836 673375304 745522658 1227919672 1346750608 1491045316 2455839344 2609329303 2982090632 5218658606 5964181264 10437317212 20874634424 41749268848