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41935874968 = 23132233239557
BaseRepresentation
bin100111000011100100…
…101010101110011000
311000020120202011201101
4213003210222232120
51141341040444333
631133131201144
73013132025101
oct470344525630
9130216664641
1041935874968
111686a787609
1281642a61b4
133c54167200
14205b7333a8
15115692e67d
hex9c392ab98

41935874968 has 96 divisors (see below), whose sum is σ = 86020833600. Its totient is φ = 19156859904.

The previous prime is 41935874963. The next prime is 41935874969. The reversal of 41935874968 is 86947853914.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41935874963) 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, 75288546 + ... + 75289102.

It is an arithmetic number, because the mean of its divisors is an integer number (896050350).

Almost surely, 241935874968 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 41935874968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43010416800).

41935874968 is an abundant number, since it is smaller than the sum of its proper divisors (44084958632).

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

41935874968 is a wasteful number, since it uses less digits than its factorization.

41935874968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1044 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 64.

The spelling of 41935874968 in words is "forty-one billion, nine hundred thirty-five million, eight hundred seventy-four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 169 233 239 338 466 478 557 676 932 956 1114 1352 1864 1912 2228 3029 3107 4456 6058 6214 7241 12116 12428 14482 24232 24856 28964 39377 40391 55687 57928 78754 80782 94133 111374 129781 133123 157508 161564 188266 222748 259562 266246 315016 323128 376532 445496 519124 532492 723931 753064 1038248 1064984 1447862 1687153 1730599 2895724 3374306 3461198 5791448 6748612 6922396 9411103 13497224 13844792 18822206 21932989 22497787 31017659 37644412 43865978 44995574 62035318 75288824 87731956 89991148 124070636 175463912 179982296 248141272 403229567 806459134 1612918268 3225836536 5241984371 10483968742 20967937484 41935874968