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163438000096 = 2575211400449
BaseRepresentation
bin1001100000110110101…
…0011111011111100000
3120121212021102122111211
42120031222133133200
510134210112000341
6203025443315504
714544101036050
oct2301552373740
9517767378454
10163438000096
116334a543558
122781307bb94
1312548608bc7
147ca6373560
1543b86ee181
hex260da9f7e0

163438000096 has 48 divisors (see below), whose sum is σ = 368441589600. Its totient is φ = 69910364160.

The previous prime is 163438000093. The next prime is 163438000109. The reversal of 163438000096 is 690000834361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163438000093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583521 + ... + 816928.

It is an arithmetic number, because the mean of its divisors is an integer number (7675866450).

Almost surely, 2163438000096 is an apocalyptic number.

163438000096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

163438000096 is an abundant number, since it is smaller than the sum of its proper divisors (205003589504).

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

163438000096 is a wasteful number, since it uses less digits than its factorization.

163438000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400987 (or 1400979 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 163438000096 in words is "one hundred sixty-three billion, four hundred thirty-eight million, ninety-six", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 521 1042 2084 3647 4168 7294 8336 14588 16672 29176 58352 116704 1400449 2800898 5601796 9803143 11203592 19606286 22407184 39212572 44814368 78425144 156850288 313700576 729633929 1459267858 2918535716 5107437503 5837071432 10214875006 11674142864 20429750012 23348285728 40859500024 81719000048 163438000096