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41826730968 = 23331122378941
BaseRepresentation
bin100110111101000100…
…010100001111011000
310222221222101002022000
4212331010110033120
51141130120342333
631114232001000
73010335230031
oct467504241730
9128858332260
1041826730968
1116814110060
128133830160
133c37671669
14204b041a88
15114c070713
hex9bd1143d8

41826730968 has 128 divisors (see below), whose sum is σ = 127317657600. Its totient is φ = 12617769600.

The previous prime is 41826730927. The next prime is 41826730973. The reversal of 41826730968 is 86903762814.

41826730968 is a `hidden beast` number, since 4 + 18 + 267 + 309 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 490378 + ... + 569318.

It is an arithmetic number, because the mean of its divisors is an integer number (994669200).

Almost surely, 241826730968 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 41826730968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63658828800).

41826730968 is an abundant number, since it is smaller than the sum of its proper divisors (85490926632).

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

41826730968 is a wasteful number, since it uses less digits than its factorization.

41826730968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79190 (or 79180 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 41826730968 in words is "forty-one billion, eight hundred twenty-six million, seven hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 223 264 297 396 446 594 669 792 892 1188 1338 1784 2007 2376 2453 2676 4014 4906 5352 6021 7359 8028 9812 12042 14718 16056 19624 22077 24084 29436 44154 48168 58872 66231 78941 88308 132462 157882 176616 236823 264924 315764 473646 529848 631528 710469 868351 947292 1420938 1736702 1894584 2131407 2605053 2841876 3473404 4262814 5210106 5683752 6946808 7815159 8525628 10420212 15630318 17051256 17603843 20840424 23445477 31260636 35207686 46890954 52811529 62521272 70415372 93781908 105623058 140830744 158434587 187563816 193642273 211246116 316869174 387284546 422492232 475303761 580926819 633738348 774569092 950607522 1161853638 1267476696 1549138184 1742780457 1901215044 2323707276 3485560914 3802430088 4647414552 5228341371 6971121828 10456682742 13942243656 20913365484 41826730968