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41789325006 = 233111310352541
BaseRepresentation
bin100110111010110101…
…100111111011001110
310222212100222122222000
4212322311213323032
51141041031400011
631110414133130
73006402254532
oct467265477316
9128770878860
1041789325006
11167a4a91440
1281231b11a6
133c2c9a5760
1420460a5bc2
151148b32356
hex9bad67ece

41789325006 has 128 divisors (see below), whose sum is σ = 110161658880. Its totient is φ = 11575612800.

The previous prime is 41789324977. The next prime is 41789325031. The reversal of 41789325006 is 60052398714.

41789325006 is a `hidden beast` number, since 41 + 78 + 9 + 32 + 500 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 769096 + ... + 821636.

It is an arithmetic number, because the mean of its divisors is an integer number (860637960).

It is a 1-persistent number, because it is pandigital, but 2⋅41789325006 = 83578650012 is not.

Almost surely, 241789325006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41789325006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55080829440).

41789325006 is an abundant number, since it is smaller than the sum of its proper divisors (68372333874).

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

41789325006 is a wasteful number, since it uses less digits than its factorization.

41789325006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52679 (or 52673 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 41789325006 in words is "forty-one billion, seven hundred eighty-nine million, three hundred twenty-five thousand, six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 103 117 143 198 206 234 286 297 309 351 429 594 618 702 858 927 1133 1287 1339 1854 2266 2574 2678 2781 3399 3861 4017 5562 6798 7722 8034 10197 12051 14729 20394 24102 29458 30591 36153 44187 52541 61182 72306 88374 105082 132561 157623 265122 315246 397683 472869 577951 683033 795366 945738 1155902 1366066 1418607 1733853 2049099 2837214 3467706 4098198 5201559 5411723 6147297 7513363 10403118 10823446 12294594 15026726 15604677 16235169 18441891 22540089 31209354 32470338 36883782 45080178 48705507 59528953 67620267 70352399 97411014 119057906 135240534 140704798 146116521 178586859 202860801 211057197 292233042 357173718 405721602 422114394 535760577 633171591 773876389 1071521154 1266343182 1547752778 1607281731 1899514773 2321629167 3214563462 3799029546 4643258334 6964887501 13929775002 20894662503 41789325006