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2482720825104 = 24351349119991
BaseRepresentation
bin100100001000001101101…
…100010101111100010000
322210100100002020112100000
4210020031230111330100
5311134103012400404
65140313551330000
7344241064550262
oct44101554257420
98710302215300
102482720825104
11877a091aa453
12341202220900
13150172902ab0
1488242cc1b32
15448abb90339
hex2420db15f10

2482720825104 has 120 divisors (see below), whose sum is σ = 7759779856192. Its totient is φ = 763914084480.

The previous prime is 2482720825103. The next prime is 2482720825133. The reversal of 2482720825104 is 4015280272842.

It is a super-2 number, since 2×24827208251042 (a number of 26 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 2482720825104.

It is not an unprimeable number, because it can be changed into a prime (2482720825103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24509452 + ... + 24610539.

Almost surely, 22482720825104 is an apocalyptic number.

2482720825104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2482720825104 is an abundant number, since it is smaller than the sum of its proper divisors (5277059031088).

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

2482720825104 is a wasteful number, since it uses less digits than its factorization.

2482720825104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49120027 (or 49120009 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

It can be divided in two parts, 248272082 and 5104, that added together give a triangular number (248277186 = T22283).

The spelling of 2482720825104 in words is "two trillion, four hundred eighty-two billion, seven hundred twenty million, eight hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 5616 6318 8424 12636 16848 25272 50544 49119991 98239982 147359973 196479964 294719946 392959928 442079919 589439892 638559883 785919856 884159838 1178879784 1277119766 1326239757 1768319676 1915679649 2357759568 2554239532 2652479514 3536639352 3831359298 3978719271 5108479064 5304959028 5747038947 7073278704 7662718596 7957438542 10216958128 10609918056 11494077894 11936157813 15325437192 15914877084 17241116841 21219836112 22988155788 23872315626 30650874384 31829754168 34482233682 45976311576 47744631252 51723350523 63659508336 68964467364 91952623152 95489262504 103446701046 137928934728 155170051569 190978525008 206893402092 275857869456 310340103138 413786804184 620680206276 827573608368 1241360412552 2482720825104