Search a number
-
+
7827023450820 = 22357103180929807
BaseRepresentation
bin111000111100101111011…
…1100111101001011000100
31000201020220201111020212210
41301321132330331023010
52011214221000411240
624351403540143420
71435324636416150
oct161713674751304
930636821436783
107827023450820
112548470762672
12a64b1a397b70
1344a1150a6892
141d0b89586060
15d88eb159780
hex71e5ef3d2c4

7827023450820 has 96 divisors (see below), whose sum is σ = 25289644843008. Its totient is φ = 1771664660352.

The previous prime is 7827023450801. The next prime is 7827023450881. The reversal of 7827023450820 is 280543207287.

It is a super-2 number, since 2×78270234508202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7827023450820.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90421644 + ... + 90508163.

It is an arithmetic number, because the mean of its divisors is an integer number (263433800448).

Almost surely, 27827023450820 is an apocalyptic number.

7827023450820 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7827023450820 is an abundant number, since it is smaller than the sum of its proper divisors (17462621392188).

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

7827023450820 is a wasteful number, since it uses less digits than its factorization.

7827023450820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180929929 (or 180929927 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 7827023450820 in words is "seven trillion, eight hundred twenty-seven billion, twenty-three million, four hundred fifty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 103 105 140 206 210 309 412 420 515 618 721 1030 1236 1442 1545 2060 2163 2884 3090 3605 4326 6180 7210 8652 10815 14420 21630 43260 180929807 361859614 542789421 723719228 904649035 1085578842 1266508649 1809298070 2171157684 2533017298 2713947105 3618596140 3799525947 5066034596 5427894210 6332543245 7599051894 10855788420 12665086490 15198103788 18635770121 18997629735 25330172980 37271540242 37995259470 55907310363 74543080484 75990518940 93178850605 111814620726 130450390847 186357701210 223629241452 260900781694 279536551815 372715402420 391351172541 521801563388 559073103630 652251954235 782702345082 1118146207260 1304503908470 1565404690164 1956755862705 2609007816940 3913511725410 7827023450820