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41995891201216 = 26171731409158351
BaseRepresentation
bin10011000110001111011100…
…01011010101010011000000
312111200202201212100020221211
421203013232023111103000
521001030041121414331
6225152351315255504
711563050222245431
oct1143075613252300
9174622655306854
1041995891201216
11124213a2830587
124863102baa594
131a58270805a44
14a5287d3b3488
154cc6221328b1
hex2631ee2d54c0

41995891201216 has 112 divisors (see below), whose sum is σ = 88811282148480. Its totient is φ = 19634467635200.

The previous prime is 41995891201213. The next prime is 41995891201219. The reversal of 41995891201216 is 61210219859914.

It is an interprime number because it is at equal distance from previous prime (41995891201213) and next prime (41995891201219).

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (41995891201213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265128441 + ... + 265286791.

Almost surely, 241995891201216 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 41995891201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44405641074240).

41995891201216 is an abundant number, since it is smaller than the sum of its proper divisors (46815390947264).

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

41995891201216 is a wasteful number, since it uses less digits than its factorization.

41995891201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159962 (or 159952 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 58.

The spelling of 41995891201216 in words is "forty-one trillion, nine hundred ninety-five billion, eight hundred ninety-one million, two hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 173 272 346 544 692 1088 1384 1409 2768 2818 2941 5536 5636 5882 11072 11272 11764 22544 23528 23953 45088 47056 47906 90176 94112 95812 158351 188224 191624 243757 316702 383248 487514 633404 766496 975028 1266808 1532992 1950056 2533616 2691967 3900112 4143869 5067232 5383934 7800224 8287738 10134464 10767868 15600448 16575476 21535736 27394723 33150952 43071472 54789446 66301904 86142944 109578892 132603808 172285888 219157784 223116559 265207616 438315568 446233118 465710291 876631136 892466236 931420582 1753262272 1784932472 1862841164 3569864944 3725682328 3792981503 7139729888 7451364656 7585963006 14279459776 14902729312 15171926012 29805458624 30343852024 38599164707 60687704048 77198329414 121375408096 154396658828 242750816192 308793317656 617586635312 656185800019 1235173270624 1312371600038 2470346541248 2624743200076 5249486400152 10498972800304 20997945600608 41995891201216