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319166242704 = 243652312
BaseRepresentation
bin1001010010011111100…
…10100101111110010000
31010111211020121001000000
410221033302211332100
520212123024231304
6402342320130000
732026144205061
oct4511762457620
91114736531000
10319166242704
111133a3029101
1251a34166900
132413586441a
141163a7d2568
158480135939
hex4a4fca5f90

319166242704 has 105 divisors (see below), whose sum is σ = 927330036619. Its totient is φ = 106368409440.

The previous prime is 319166242699. The next prime is 319166242727. The reversal of 319166242704 is 407242661913.

The square root of 319166242704 is 564948.

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

319166242704 is a `hidden beast` number, since 3 + 1 + 9 + 16 + 624 + 2 + 7 + 0 + 4 = 666.

319166242704 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 319166242704.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 61011769 + ... + 61016999.

Almost surely, 2319166242704 is an apocalyptic number.

319166242704 is the 564948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319166242704

319166242704 is an abundant number, since it is smaller than the sum of its proper divisors (608163793915).

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

319166242704 is an frugal number, since it uses more digits than its factorization.

319166242704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10488 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 319166242704 in words is "three hundred nineteen billion, one hundred sixty-six million, two hundred forty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5231 5832 10462 11664 15693 20924 31386 41848 47079 62772 83696 94158 125544 141237 188316 251088 282474 376632 423711 564948 753264 847422 1129896 1271133 1694844 2259792 2542266 3389688 3813399 5084532 6779376 7626798 10169064 15253596 20338128 27363361 30507192 54726722 61014384 82090083 109453444 164180166 218906888 246270249 328360332 437813776 492540498 656720664 738810747 985080996 1313441328 1477621494 1970161992 2216432241 2955242988 3940323984 4432864482 5910485976 6649296723 8865728964 11820971952 13298593446 17731457928 19947890169 26597186892 35462915856 39895780338 53194373784 79791560676 106388747568 159583121352 319166242704