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102573434649 = 3724117018987
BaseRepresentation
bin101111110000111011…
…0100110011100011001
3100210202112000100221010
41133201312212130121
53140032244402044
6115042132404133
710260602544300
oct1374166463431
9323675010833
10102573434649
113a5570366a4
1217a67776649
139898a10b3a
144d70b49437
152a0511dbb9
hex17e1da6719

102573434649 has 24 divisors (see below), whose sum is σ = 162973829088. Its totient is φ = 57183792960.

The previous prime is 102573434597. The next prime is 102573434687. The reversal of 102573434649 is 946434375201.

It is a happy number.

It is not a de Polignac number, because 102573434649 - 27 = 102573434521 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102573434598 and 102573434607.

It is not an unprimeable number, because it can be changed into a prime (102573436649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8503467 + ... + 8515520.

It is an arithmetic number, because the mean of its divisors is an integer number (6790576212).

Almost surely, 2102573434649 is an apocalyptic number.

It is an amenable number.

102573434649 is a deficient number, since it is larger than the sum of its proper divisors (60400394439).

102573434649 is a wasteful number, since it uses less digits than its factorization.

102573434649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17019045 (or 17019038 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 102573434649 in words is "one hundred two billion, five hundred seventy-three million, four hundred thirty-four thousand, six hundred forty-nine".

Divisors: 1 3 7 21 41 49 123 147 287 861 2009 6027 17018987 51056961 119132909 357398727 697778467 833930363 2093335401 2501791089 4884449269 14653347807 34191144883 102573434649