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2484267811056 = 243419100888069
BaseRepresentation
bin100100001001101001111…
…001101000000011110000
322210111022220011120010000
4210021221321220003300
5311200240024423211
65141131252510000
7344324320660353
oct44115171500360
98714286146100
102484267811056
11878632461939
1234157431b300
1315035b2665b5
148834c53629a
154494c8bb656
hex24269e680f0

2484267811056 has 100 divisors (see below), whose sum is σ = 7568623011400. Its totient is φ = 784505616768.

The previous prime is 2484267811001. The next prime is 2484267811061. The reversal of 2484267811056 is 6501187624842.

2484267811056 is a `hidden beast` number, since 2 + 48 + 426 + 78 + 1 + 105 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2484267810993 and 2484267811011.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 50419411 + ... + 50468658.

It is an arithmetic number, because the mean of its divisors is an integer number (75686230114).

Almost surely, 22484267811056 is an apocalyptic number.

It is an amenable number.

2484267811056 is an abundant number, since it is smaller than the sum of its proper divisors (5084355200344).

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

2484267811056 is a wasteful number, since it uses less digits than its factorization.

2484267811056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100888108 (or 100888093 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 2484267811056 in words is "two trillion, four hundred eighty-four billion, two hundred sixty-seven million, eight hundred eleven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 304 324 342 432 456 513 648 684 912 1026 1296 1368 1539 2052 2736 3078 4104 6156 8208 12312 24624 100888069 201776138 302664207 403552276 605328414 807104552 907992621 1210656828 1614209104 1815985242 1916873311 2421313656 2723977863 3631970484 3833746622 4842627312 5447955726 5750619933 7263940968 7667493244 8171933589 10895911452 11501239866 14527881936 15334986488 16343867178 17251859799 21791822904 23002479732 30669972976 32687734356 34503719598 43583645808 46004959464 51755579397 65375468712 69007439196 92009918928 103511158794 130750937424 138014878392 155266738191 207022317588 276029756784 310533476382 414044635176 621066952764 828089270352 1242133905528 2484267811056