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41026085982 = 2337536173319
BaseRepresentation
bin100110001101010110…
…000110010001011110
310220220011211002212000
4212031112012101132
51133010134222412
630502551223130
72651443656060
oct461526062136
9126804732760
1041026085982
1116443179692
127b4b677aa6
133b3a82402b
141db2989730
151101b1c4dc
hex98d58645e

41026085982 has 128 divisors (see below), whose sum is σ = 106363238400. Its totient is φ = 11478475008.

The previous prime is 41026085981. The next prime is 41026085983. The reversal of 41026085982 is 28958062014.

It is an interprime number because it is at equal distance from previous prime (41026085981) and next prime (41026085983).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41026085981) 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 63 ways as a sum of consecutive naturals, for example, 12359319 + ... + 12362637.

It is an arithmetic number, because the mean of its divisors is an integer number (830962800).

Almost surely, 241026085982 is an apocalyptic number.

41026085982 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41026085982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53181619200).

41026085982 is an abundant number, since it is smaller than the sum of its proper divisors (65337152418).

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

41026085982 is a wasteful number, since it uses less digits than its factorization.

41026085982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 41026085982 in words is "forty-one billion, twenty-six million, eighty-five thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 477 617 742 954 1113 1234 1431 1851 2226 2862 3319 3339 3702 4319 5553 6638 6678 8638 9957 10017 11106 12957 16659 19914 20034 23233 25914 29871 32701 33318 38871 46466 59742 65402 69699 77742 89613 98103 116613 139398 175907 179226 196206 209097 228907 233226 294309 351814 418194 457814 527721 588618 627291 686721 882927 1055442 1231349 1254582 1373442 1583163 1765854 2047823 2060163 2462698 3166326 3694047 4095646 4120326 4749489 6143469 6180489 7388094 9498978 11082141 12286938 12360978 14334761 18430407 22164282 28669522 33246423 36860814 43004283 55291221 66492846 86008566 108534619 110582442 129012849 217069238 258025698 325603857 387038547 651207714 759742333 774077094 976811571 1519484666 1953623142 2279226999 2930434713 4558453998 5860869426 6837680997 13675361994 20513042991 41026085982