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30848132745 = 345733103913
BaseRepresentation
bin11100101110101100…
…010010011010001001
32221121212012111210000
4130232230102122021
51001134110221440
622101010313213
72141305542033
oct345654223211
987555174700
1030848132745
111209aa6a791
125b8ab88809
132ba7ccb4b1
1416c8d42c53
15c0830c730
hex72eb12689

30848132745 has 40 divisors (see below), whose sum is σ = 55374107976. Its totient is φ = 16429734144.

The previous prime is 30848132701. The next prime is 30848132759. The reversal of 30848132745 is 54723184803.

It can be written as a sum of positive squares in 4 ways, for example, as 6245582841 + 24602549904 = 79029^2 + 156852^2 .

It is not a de Polignac number, because 30848132745 - 26 = 30848132681 is a prime.

It is a super-3 number, since 3×308481327453 (a number of 32 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30848132745.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 244909 + ... + 348821.

Almost surely, 230848132745 is an apocalyptic number.

It is an amenable number.

30848132745 is a deficient number, since it is larger than the sum of its proper divisors (24525975231).

30848132745 is a wasteful number, since it uses less digits than its factorization.

30848132745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104663 (or 104654 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 30848132745 in words is "thirty billion, eight hundred forty-eight million, one hundred thirty-two thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 733 2199 3665 6597 10995 19791 32985 59373 98955 103913 296865 311739 519565 935217 1558695 2805651 4676085 8416953 14028255 42084765 76168229 228504687 380841145 685514061 1142523435 2056542183 3427570305 6169626549 10282710915 30848132745