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15345060096 = 283113176819
BaseRepresentation
bin11100100101010001…
…10000100100000000
31110121102102211011010
432102220300210000
5222411313410341
611014401520520
71052156600352
oct162250604400
943542384133
1015345060096
116564982853
122b83043140
1315a7192922
14a57da70d2
155ec274716
hex392a30900

15345060096 has 72 divisors (see below), whose sum is σ = 41201889120. Its totient is φ = 5069725696.

The previous prime is 15345060089. The next prime is 15345060113. The reversal of 15345060096 is 69006054351.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1626 + ... + 175193.

It is an arithmetic number, because the mean of its divisors is an integer number (572248460).

Almost surely, 215345060096 is an apocalyptic number.

15345060096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15345060096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20600944560).

15345060096 is an abundant number, since it is smaller than the sum of its proper divisors (25856829024).

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

15345060096 is a wasteful number, since it uses less digits than its factorization.

15345060096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176951 (or 176937 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 15345060096 in words is "fifteen billion, three hundred forty-five million, sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 678 768 904 1356 1808 2712 3616 5424 7232 10848 14464 21696 28928 43392 86784 176819 353638 530457 707276 1060914 1414552 2121828 2829104 4243656 5658208 8487312 11316416 16974624 19980547 22632832 33949248 39961094 45265664 59941641 67898496 79922188 119883282 135796992 159844376 239766564 319688752 479533128 639377504 959066256 1278755008 1918132512 2557510016 3836265024 5115020032 7672530048 15345060096