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41326822848 = 2631137692477
BaseRepresentation
bin100110011111010001…
…010100010111000000
310221200010201010021110
4212133101110113000
51134114131312343
630552453123320
72662055124663
oct463721242700
9127603633243
1041326822848
1116587a06753
128014329540
133b87c1c33c
1420008b16da
15111d224833
hex99f4545c0

41326822848 has 112 divisors (see below), whose sum is σ = 110499570720. Its totient is φ = 13630439424.

The previous prime is 41326822819. The next prime is 41326822891. The reversal of 41326822848 is 84822862314.

It is a super-2 number, since 2×413268228482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41326822797 and 41326822806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16682986 + ... + 16685462.

It is an arithmetic number, because the mean of its divisors is an integer number (986603310).

Almost surely, 241326822848 is an apocalyptic number.

41326822848 is a gapful number since it is divisible by the number (48) 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 41326822848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55249785360).

41326822848 is an abundant number, since it is smaller than the sum of its proper divisors (69172747872).

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

41326822848 is a wasteful number, since it uses less digits than its factorization.

41326822848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3364 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The spelling of 41326822848 in words is "forty-one billion, three hundred twenty-six million, eight hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 769 904 1356 1538 1808 2307 2477 2712 3076 3616 4614 4954 5424 6152 7232 7431 9228 9908 10848 12304 14862 18456 19816 21696 24608 29724 36912 39632 49216 59448 73824 79264 86897 118896 147648 158528 173794 237792 260691 279901 347588 475584 521382 559802 695176 839703 1042764 1119604 1390352 1679406 1904813 2085528 2239208 2780704 3358812 3809626 4171056 4478416 5561408 5714439 6717624 7619252 8342112 8956832 11428878 13435248 15238504 16684224 17913664 22857756 26870496 30477008 45715512 53740992 60954016 91431024 121908032 182862048 215243869 365724096 430487738 645731607 860975476 1291463214 1721950952 2582926428 3443901904 5165852856 6887803808 10331705712 13775607616 20663411424 41326822848