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169823113216 = 2124721372
BaseRepresentation
bin1001111000101000111…
…1110001000000000000
3121020100021011000001221
42132022033301000000
510240244204110331
6210003214404424
715161242434151
oct2361217610000
9536307130057
10169823113216
11660267a1549
1228ab5500714
1313025403253
14831038d928
15463e059711
hex278a3f1000

169823113216 has 117 divisors (see below), whose sum is σ = 349535353909. Its totient is φ = 82498322432.

The previous prime is 169823113189. The next prime is 169823113253. The reversal of 169823113216 is 612311328961.

The square root of 169823113216 is 412096.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 99754905600 + 70068207616 = 315840^2 + 264704^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1239584700 + ... + 1239584836.

Almost surely, 2169823113216 is an apocalyptic number.

169823113216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

169823113216 is the 412096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169823113216

169823113216 is an abundant number, since it is smaller than the sum of its proper divisors (179712240693).

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

169823113216 is an frugal number, since it uses more digits than its factorization.

169823113216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 186 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The spelling of 169823113216 in words is "one hundred sixty-nine billion, eight hundred twenty-three million, one hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 128 137 188 256 274 376 512 548 752 1024 1096 1504 2048 2192 2209 3008 4096 4384 4418 6016 6439 8768 8836 12032 12878 17536 17672 18769 24064 25756 35072 35344 37538 48128 51512 70144 70688 75076 96256 103024 140288 141376 150152 192512 206048 280576 282752 300304 302633 412096 561152 565504 600608 605266 824192 882143 1131008 1201216 1210532 1648384 1764286 2262016 2402432 2421064 3296768 3528572 4524032 4804864 4842128 6593536 7057144 9048064 9609728 9684256 13187072 14114288 19219456 19368512 26374144 28228576 38438912 38737024 41460721 56457152 76877824 77474048 82921442 112914304 154948096 165842884 225828608 309896192 331685768 451657216 619792384 663371536 903314432 1239584768 1326743072 1806628864 2653486144 3613257728 5306972288 10613944576 21227889152 42455778304 84911556608 169823113216