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102189461752 = 2371824811817
BaseRepresentation
bin101111100101011110…
…1110111000011111000
3100202202202111112010201
41133022331313003320
53133241000234002
6114540054451544
710245231043630
oct1371275670370
9322682445121
10102189461752
113a37a318124
121797b063bb4
1398372c1541
144d35b576c0
1529d1574087
hex17caf770f8

102189461752 has 16 divisors (see below), whose sum is σ = 218977418160. Its totient is φ = 43795483584.

The previous prime is 102189461741. The next prime is 102189461807. The reversal of 102189461752 is 257164981201.

102189461752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 912405853 + ... + 912405964.

It is an arithmetic number, because the mean of its divisors is an integer number (13686088635).

Almost surely, 2102189461752 is an apocalyptic number.

It is an amenable number.

102189461752 is an abundant number, since it is smaller than the sum of its proper divisors (116787956408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102189461752 is a wasteful number, since it uses less digits than its factorization.

102189461752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824811830 (or 1824811826 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 102189461752 in words is "one hundred two billion, one hundred eighty-nine million, four hundred sixty-one thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 1824811817 3649623634 7299247268 12773682719 14598494536 25547365438 51094730876 102189461752