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30853118745 = 32519314724767
BaseRepresentation
bin11100101110111111…
…010011101100011001
32221122012120211021200
4130232333103230121
51001141344244440
622101305224413
72141366116341
oct345677235431
987565524250
1030853118745
11120a2865849
125b90792109
132ba9055aa7
1416c987dd21
15c08994c30
hex72efd3b19

30853118745 has 96 divisors (see below), whose sum is σ = 59348090880. Its totient is φ = 14764498560.

The previous prime is 30853118741. The next prime is 30853118749. The reversal of 30853118745 is 54781135803.

It is a happy number.

30853118745 is a `hidden beast` number, since 30 + 8 + 531 + 1 + 87 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (30853118741) and next prime (30853118749).

It is not a de Polignac number, because 30853118745 - 22 = 30853118741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 30853118745.

It is not an unprimeable number, because it can be changed into a prime (30853118741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1233352 + ... + 1258118.

It is an arithmetic number, because the mean of its divisors is an integer number (618209280).

Almost surely, 230853118745 is an apocalyptic number.

It is an amenable number.

30853118745 is a deficient number, since it is larger than the sum of its proper divisors (28494972135).

30853118745 is a wasteful number, since it uses less digits than its factorization.

30853118745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24875 (or 24872 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 30853118745 in words is "thirty billion, eight hundred fifty-three million, one hundred eighteen thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 19 31 45 47 57 93 95 141 155 171 235 279 285 423 465 589 705 855 893 1395 1457 1767 2115 2679 2945 4371 4465 5301 7285 8037 8835 13113 13395 21855 24767 26505 27683 40185 65565 74301 83049 123835 138415 222903 249147 371505 415245 470573 767777 1114515 1164049 1245735 1411719 2303331 2352865 3492147 3838885 4235157 5820245 6909993 7058595 10476441 11516655 14587763 17460735 21175785 22116931 34549965 36085519 43763289 52382205 66350793 72938815 108256557 110584655 131289867 180427595 199052379 218816445 324769671 331753965 541282785 656449335 685624861 995261895 1623848355 2056874583 3428124305 6170623749 10284372915 30853118745