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34668057045 = 35473113197
BaseRepresentation
bin100000010010011000…
…001001000111010101
310022111002001202210210
4200102120021013111
51032000010311140
623532024440033
72335051423416
oct402230110725
9108432052723
1034668057045
111378023a416
126876319019
13336652072b
14196c3bd80d
15d7d861d80
hex8126091d5

34668057045 has 64 divisors (see below), whose sum is σ = 57466506240. Its totient is φ = 17845044224.

The previous prime is 34668056993. The next prime is 34668057071. The reversal of 34668057045 is 54075086643.

It is not a de Polignac number, because 34668057045 - 28 = 34668056789 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34668056985 and 34668057003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175979887 + ... + 175980083.

It is an arithmetic number, because the mean of its divisors is an integer number (897914160).

Almost surely, 234668057045 is an apocalyptic number.

It is an amenable number.

34668057045 is a deficient number, since it is larger than the sum of its proper divisors (22798449195).

34668057045 is an equidigital number, since it uses as much as digits as its factorization.

34668057045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 34668057045 in words is "thirty-four billion, six hundred sixty-eight million, fifty-seven thousand, forty-five".

Divisors: 1 3 5 15 47 113 141 197 235 339 565 591 705 985 1695 2209 2955 5311 6627 9259 11045 15933 22261 26555 27777 33135 46295 66783 79665 103823 111305 138885 249617 311469 333915 435173 519115 748851 1046267 1248085 1305519 1557345 2175865 3138801 3744255 5231335 6527595 11731999 15694005 20453131 35195997 49174549 58659995 61359393 102265655 147523647 175979985 245872745 306796965 737618235 2311203803 6933611409 11556019015 34668057045