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18983180307 = 373131923931
BaseRepresentation
bin10001101011011111…
…000101100000010011
31210222222012110212010
4101223133011200103
5302334143232212
612415403234003
71241264241000
oct215337054023
953888173763
1018983180307
118061568373
123819518903
131a36b2ba90
14cc123a8a7
1576186603c
hex46b7c5813

18983180307 has 96 divisors (see below), whose sum is σ = 33557260800. Its totient is φ = 9483687360.

The previous prime is 18983180273. The next prime is 18983180317. The reversal of 18983180307 is 70308138981.

It is not a de Polignac number, because 18983180307 - 212 = 18983176211 is a prime.

It is a super-2 number, since 2×189831803072 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18983180317) 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 95 ways as a sum of consecutive naturals, for example, 4827132 + ... + 4831062.

It is an arithmetic number, because the mean of its divisors is an integer number (349554800).

Almost surely, 218983180307 is an apocalyptic number.

18983180307 is a deficient number, since it is larger than the sum of its proper divisors (14574080493).

18983180307 is a wasteful number, since it uses less digits than its factorization.

18983180307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 18983180307 in words is "eighteen billion, nine hundred eighty-three million, one hundred eighty thousand, three hundred seven".

Divisors: 1 3 7 13 19 21 39 49 57 91 133 147 247 273 343 361 399 637 741 931 1029 1083 1729 1911 2527 2793 3931 4459 4693 5187 6517 7581 11793 12103 13377 14079 17689 19551 27517 32851 36309 51103 53067 74689 82551 84721 98553 123823 153309 192619 224067 229957 254163 357721 371469 522823 577857 689871 970957 1073163 1348333 1419091 1568469 1609699 2504047 2912871 3659761 4044999 4257273 4829097 6796699 7512141 9933637 10979283 17528329 18448183 20390097 25618327 29800911 47576893 52584987 55344549 69535459 76854981 129137281 142730679 208606377 333038251 387411843 486748213 903960967 999114753 1460244639 2711882901 6327726769 18983180307