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6541439818008 = 233611972115133
BaseRepresentation
bin101111100110000110000…
…1100100101100100011000
3212011100121012002010122010
41133030030030211210120
51324133332043134013
621525032421225520
71243413656013504
oct137141414454430
925140535063563
106541439818008
1120a2233273527
12897936b622a0
13385b16940634
141888708d9304
15b5257bb07c3
hex5f30c325918

6541439818008 has 96 divisors (see below), whose sum is σ = 16706638809360. Its totient is φ = 2133828856320.

The previous prime is 6541439818007. The next prime is 6541439818013. The reversal of 6541439818008 is 8008189341456.

It is a super-2 number, since 2×65414398180082 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6541439818007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56758810 + ... + 56873942.

Almost surely, 26541439818008 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 6541439818008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353319404680).

6541439818008 is an abundant number, since it is smaller than the sum of its proper divisors (10165198991352).

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

6541439818008 is a wasteful number, since it uses less digits than its factorization.

6541439818008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115597 (or 115396 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 6541439818008 in words is "six trillion, five hundred forty-one billion, four hundred thirty-nine million, eight hundred eighteen thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 197 244 366 394 488 591 732 788 1182 1464 1576 2364 4728 12017 24034 36051 38809 48068 72102 77618 96136 115133 116427 144204 155236 230266 232854 288408 310472 345399 460532 465708 690798 921064 931416 1381596 2367349 2763192 4734698 7023113 7102047 9469396 14046226 14204094 18938792 21069339 22681201 28092452 28408188 42138678 45362402 56184904 56816376 68043603 84277356 90724804 136087206 168554712 181449608 272174412 544348824 1383553261 2767106522 4150659783 4468196597 5534213044 8301319566 8936393194 11068426088 13404589791 16602639132 17872786388 26809179582 33205278264 35745572776 53618359164 107236718328 272559992417 545119984834 817679977251 1090239969668 1635359954502 2180479939336 3270719909004 6541439818008