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84315358192 = 241322712291453
BaseRepresentation
bin100111010000110010…
…1100100001111110000
322001122002012222120011
41032201211210033300
52340134212430232
6102422310424304
76043261501552
oct1164145441760
9261562188504
1084315358192
113283790460a
1214411062094
137c491a09c0
14411bd3d4d2
1522d7288547
hex13a19643f0

84315358192 has 80 divisors (see below), whose sum is σ = 176967735840. Its totient is φ = 38685182976.

The previous prime is 84315358157. The next prime is 84315358241. The reversal of 84315358192 is 29185351348.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58027738 + ... + 58029190.

It is an arithmetic number, because the mean of its divisors is an integer number (2212096698).

Almost surely, 284315358192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84315358192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88483867920).

84315358192 is an abundant number, since it is smaller than the sum of its proper divisors (92652377648).

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

84315358192 is a wasteful number, since it uses less digits than its factorization.

84315358192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2924 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 49.

The spelling of 84315358192 in words is "eighty-four billion, three hundred fifteen million, three hundred fifty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 227 454 908 1229 1453 1816 2458 2906 2951 3632 4916 5812 5902 9832 11624 11804 15977 18889 19664 23248 23608 31954 37778 47216 63908 75556 127816 151112 255632 278983 302224 329831 557966 659662 1115932 1319324 1785737 2231864 2638648 3571474 3626779 4287803 4463728 5277296 7142948 7253558 8575606 14285896 14507116 17151212 23214581 28571792 29014232 34302424 46429162 58028464 68604848 92858324 185716648 371433296 405362299 810724598 1621449196 3242898392 5269709887 6485796784 10539419774 21078839548 42157679096 84315358192