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45738586748439 = 321310152120033709
BaseRepresentation
bin10100110011001010110000…
…01101110011011000010111
312222221120021202022110021200
422121211120031303120113
521443340111201422224
6241140003334043543
712430334550426234
oct1231453015633027
9188846252273250
1045738586748439
11136346978a9472
1251685401a95b3
131c6a19013cb90
14b41a8bb7278b
15544b73dbb5c9
hex299958373617

45738586748439 has 96 divisors (see below), whose sum is σ = 72046633014720. Its totient is φ = 27793269504000.

The previous prime is 45738586748411. The next prime is 45738586748483. The reversal of 45738586748439 is 93484768583754.

45738586748439 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 85 + 8 + 67 + 48 + 439 = 666.

45738586748439 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45738586748439 - 228 = 45738318312983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45738586740439) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12331782117 + ... + 12331785825.

It is an arithmetic number, because the mean of its divisors is an integer number (750485760570).

Almost surely, 245738586748439 is an apocalyptic number.

45738586748439 is a deficient number, since it is larger than the sum of its proper divisors (26308046266281).

45738586748439 is a wasteful number, since it uses less digits than its factorization.

45738586748439 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6353 (or 6350 counting only the distinct ones).

The product of its digits is 19508428800, while the sum is 81.

The spelling of 45738586748439 in words is "forty-five trillion, seven hundred thirty-eight billion, five hundred eighty-six million, seven hundred forty-eight thousand, four hundred thirty-nine".

Divisors: 1 3 9 13 39 101 117 303 521 909 1313 1563 2003 3709 3939 4689 6009 6773 11127 11817 18027 20319 26039 33381 48217 52621 60957 78117 144651 157863 202303 234351 374609 433953 473589 606909 684073 1043563 1123827 1820727 1932389 2052219 2629939 3130689 3371481 4869917 5797167 6156657 7429127 7889817 9392067 13566319 14609751 17391501 22287381 23669451 25121057 40698957 43829253 66862143 75363171 96578651 105399863 122096871 195171289 226089513 289735953 316199589 585513867 750341827 869207859 948598767 1370198219 1756541601 2251025481 2537226757 3870575167 4110594657 6753076443 7611680271 9754443751 11611725501 12331783971 22835040813 29263331253 34835176503 50317477171 87789993759 150952431513 390928091867 452857294539 1172784275601 3518352826803 5082065194271 15246195582813 45738586748439