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2413286978720 = 25527754451421
BaseRepresentation
bin100011000111100011000…
…111001111010010100000
322112201010010012200012212
4203013203013033102200
5304014402431304340
65044352043141252
7336232333601252
oct43074307172240
98481103180185
102413286978720
11850518648a32
1232b864b14828
131467588633a7
1484b37561cd2
1542b96113a65
hex231e31cf4a0

2413286978720 has 48 divisors (see below), whose sum is σ = 5721973229448. Its totient is φ = 961829882880.

The previous prime is 2413286978719. The next prime is 2413286978723. The reversal of 2413286978720 is 278796823142.

It can be written as a sum of positive squares in 4 ways, for example, as 993538471696 + 1419748507024 = 996764^2 + 1191532^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2413286978720.

It is not an unprimeable number, because it can be changed into a prime (2413286978723) 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 7 ways as a sum of consecutive naturals, for example, 27181391 + ... + 27270030.

Almost surely, 22413286978720 is an apocalyptic number.

2413286978720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413286978720 is an abundant number, since it is smaller than the sum of its proper divisors (3308686250728).

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

2413286978720 is a wasteful number, since it uses less digits than its factorization.

2413286978720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54451713 (or 54451705 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 59.

The spelling of 2413286978720 in words is "two trillion, four hundred thirteen billion, two hundred eighty-six million, nine hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 277 554 1108 1385 2216 2770 4432 5540 8864 11080 22160 44320 54451421 108902842 217805684 272257105 435611368 544514210 871222736 1089028420 1742445472 2178056840 4356113680 8712227360 15083043617 30166087234 60332174468 75415218085 120664348936 150830436170 241328697872 301660872340 482657395744 603321744680 1206643489360 2413286978720