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102608448063 = 31122937263437
BaseRepresentation
bin101111110001111110…
…0001010101000111111
3100210211221220020022020
41133203330022220333
53140120230314223
6115045423051223
710261506263232
oct1374374125077
9323757806266
10102608448063
113a574880800
1217a77440b13
1398a304ca34
144d75661419
152a082381e3
hex17e3f0aa3f

102608448063 has 48 divisors (see below), whose sum is σ = 159769878240. Its totient is φ = 58419567360.

The previous prime is 102608448053. The next prime is 102608448119. The reversal of 102608448063 is 360844806201.

It is not a de Polignac number, because 102608448063 - 26 = 102608447999 is a prime.

It is a super-2 number, since 2×1026084480632 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102608448023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257781 + ... + 521217.

It is an arithmetic number, because the mean of its divisors is an integer number (3328539130).

Almost surely, 2102608448063 is an apocalyptic number.

102608448063 is a deficient number, since it is larger than the sum of its proper divisors (57161430177).

102608448063 is a wasteful number, since it uses less digits than its factorization.

102608448063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263528 (or 263517 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 102608448063 in words is "one hundred two billion, six hundred eight million, four hundred forty-eight thousand, sixty-three".

Divisors: 1 3 11 29 33 37 87 111 121 319 363 407 957 1073 1221 3219 3509 4477 10527 11803 13431 35409 129833 263437 389499 790311 2897807 7639673 8693421 9747169 22919019 29241507 31875877 84036403 95627631 107218859 252109209 282667901 321656577 848003703 924400433 1179407449 2773201299 3109346911 3538222347 9328040733 34202816021 102608448063