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319099490712 = 23336125196487
BaseRepresentation
bin1001010010010111100…
…11111101000110011000
31010111122120222200111000
410221023303331012120
520212003432200322
6402331533305000
732024403626622
oct4511363750630
91114576880430
10319099490712
11113369386372
1251a15935160
1324124a920c2
14116319b7c12
15847934c3ac
hex4a4bcfd198

319099490712 has 128 divisors (see below), whose sum is σ = 904517107200. Its totient is φ = 104204880000.

The previous prime is 319099490707. The next prime is 319099490713. The reversal of 319099490712 is 217094990913.

It is a happy number.

319099490712 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319099490713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3258933 + ... + 3355419.

It is an arithmetic number, because the mean of its divisors is an integer number (7066539900).

Almost surely, 2319099490712 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 319099490712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452258553600).

319099490712 is an abundant number, since it is smaller than the sum of its proper divisors (585417616488).

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

319099490712 is a wasteful number, since it uses less digits than its factorization.

319099490712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96814 (or 96804 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 319099490712 in words is "three hundred nineteen billion, ninety-nine million, four hundred ninety thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 251 366 488 502 549 732 753 1004 1098 1464 1506 1647 2008 2196 2259 3012 3294 4392 4518 6024 6588 6777 9036 13176 13554 15311 18072 27108 30622 45933 54216 61244 91866 96487 122488 137799 183732 192974 275598 289461 367464 385948 413397 551196 578922 771896 826794 868383 1102392 1157844 1653588 1736766 2315688 2605149 3307176 3473532 5210298 5885707 6947064 10420596 11771414 17657121 20841192 23542828 24218237 35314242 47085656 48436474 52971363 70628484 72654711 96872948 105942726 141256968 145309422 158914089 193745896 211885452 217964133 290618844 317828178 423770904 435928266 581237688 635656356 653892399 871856532 1271312712 1307784798 1477312457 1743713064 2615569596 2954624914 4431937371 5231139192 5909249828 8863874742 11818499656 13295812113 17727749484 26591624226 35455498968 39887436339 53183248452 79774872678 106366496904 159549745356 319099490712