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41809909968 = 2434103313211
BaseRepresentation
bin100110111100000100…
…001001100011010000
310222220210201111020000
4212330010021203100
51141111314104333
631112431250000
73010042241151
oct467404114320
9128823644200
1041809909968
1116805671202
12812a079900
133c340321c8
142048b03928
15114a84b713
hex9bc1098d0

41809909968 has 100 divisors (see below), whose sum is σ = 122185254048. Its totient is φ = 13801285440.

The previous prime is 41809909961. The next prime is 41809909987. The reversal of 41809909968 is 86990990814.

It is a super-2 number, since 2×418099099682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41809909961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23118 + ... + 290093.

Almost surely, 241809909968 is an apocalyptic number.

41809909968 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 41809909968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61092627024).

41809909968 is an abundant number, since it is smaller than the sum of its proper divisors (80375344080).

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

41809909968 is a wasteful number, since it uses less digits than its factorization.

41809909968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313334 (or 313319 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 41809909968 in words is "forty-one billion, eight hundred nine million, nine hundred nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 103 108 144 162 206 216 309 324 412 432 618 648 824 927 1236 1296 1648 1854 2472 2781 3708 4944 5562 7416 8343 11124 14832 16686 22248 33372 44496 66744 133488 313211 626422 939633 1252844 1879266 2505688 2818899 3758532 5011376 5637798 7517064 8456697 11275596 15034128 16913394 22551192 25370091 32260733 33826788 45102384 50740182 64521466 67653576 96782199 101480364 129042932 135307152 193564398 202960728 258085864 290346597 387128796 405921456 516171728 580693194 774257592 871039791 1161386388 1548515184 1742079582 2322772776 2613119373 3484159164 4645545552 5226238746 6968318328 10452477492 13936636656 20904954984 41809909968