Search a number
-
+
1831523217420 = 22351322910253741
BaseRepresentation
bin11010101001101111010…
…010100111000000001100
320111002111000001112022210
4122221233102213000030
5220001424420424140
63521220134510420
7246215565324021
oct32515722470014
96432430045283
101831523217420
11646821121496
12256b65505410
1310393406b290
1464909241548
1532997265d80
hex1aa6f4a700c

1831523217420 has 96 divisors (see below), whose sum is σ = 5546864272320. Its totient is φ = 448867722240.

The previous prime is 1831523217367. The next prime is 1831523217427. The reversal of 1831523217420 is 247123251381.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1831523217427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4948251 + ... + 5305490.

It is an arithmetic number, because the mean of its divisors is an integer number (57779836170).

Almost surely, 21831523217420 is an apocalyptic number.

1831523217420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1831523217420 is an abundant number, since it is smaller than the sum of its proper divisors (3715341054900).

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

1831523217420 is a wasteful number, since it uses less digits than its factorization.

1831523217420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10253995 (or 10253993 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 1831523217420 in words is "one trillion, eight hundred thirty-one billion, five hundred twenty-three million, two hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 229 260 390 458 687 780 916 1145 1374 2290 2748 2977 3435 4580 5954 6870 8931 11908 13740 14885 17862 29770 35724 44655 59540 89310 178620 10253741 20507482 30761223 41014964 51268705 61522446 102537410 123044892 133298633 153806115 205074820 266597266 307612230 399895899 533194532 615224460 666493165 799791798 1332986330 1599583596 1999479495 2348106689 2665972660 3998958990 4696213378 7044320067 7997917980 9392426756 11740533445 14088640134 23481066890 28177280268 30525386957 35221600335 46962133780 61050773914 70443200670 91576160871 122101547828 140886401340 152626934785 183152321742 305253869570 366304643484 457880804355 610507739140 915761608710 1831523217420