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319030308072 = 23337369757073
BaseRepresentation
bin1001010010001111011…
…00000010110011101000
31010111110202210211202000
410221013230002303220
520211333224324242
6402321022411000
732022603606150
oct4510754026350
91114422724660
10319030308072
11113333323433
12519b6730a60
132411364b628
1411626729760
158473233a4c
hex4a47b02ce8

319030308072 has 128 divisors (see below), whose sum is σ = 1013086329600. Its totient is φ = 91125264384.

The previous prime is 319030308049. The next prime is 319030308097. The reversal of 319030308072 is 270803030913.

It is a happy number.

319030308072 is a `hidden beast` number, since 319 + 0 + 30 + 308 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 5561328 + ... + 5618400.

It is an arithmetic number, because the mean of its divisors is an integer number (7914736950).

Almost surely, 2319030308072 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 319030308072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506543164800).

319030308072 is an abundant number, since it is smaller than the sum of its proper divisors (694056021528).

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

319030308072 is a wasteful number, since it uses less digits than its factorization.

319030308072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60792 (or 60782 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 319030308072 its reverse (270803030913), we get a palindrome (589833338985).

The spelling of 319030308072 in words is "three hundred nineteen billion, thirty million, three hundred eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 3697 7394 11091 14788 22182 25879 29576 33273 44364 51758 57073 66546 77637 88728 99819 103516 114146 133092 155274 171219 199638 207032 228292 232911 266184 310548 342438 399276 399511 456584 465822 513657 621096 684876 698733 798552 799022 931644 1027314 1198533 1369752 1397466 1540971 1598044 1863288 2054628 2397066 2794932 3081942 3196088 3595599 4109256 4794132 5589864 6163884 7191198 9588264 10786797 12327768 14382396 21573594 28764792 43147188 86294376 210998881 421997762 632996643 843995524 1265993286 1476992167 1687991048 1898989929 2531986572 2953984334 3797979858 4430976501 5063973144 5696969787 5907968668 7595959716 8861953002 11393939574 11815937336 13292929503 15191919432 17723906004 22787879148 26585859006 35447812008 39878788509 45575758296 53171718012 79757577018 106343436024 159515154036 319030308072