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2487122683488 = 253347618312097
BaseRepresentation
bin100100001100010100000…
…100000110011001100000
322210202200212010002212000
4210030110010012121200
5311222111401332423
65142322434404000
7344455134665532
oct44142404063140
98722625102760
102487122683488
11879867a08843
12342030430600
131506c4866921
148853d761852
1544a68344843
hex24314106660

2487122683488 has 384 divisors, whose sum is σ = 7621252208640. Its totient is φ = 788419215360.

The previous prime is 2487122683421. The next prime is 2487122683523. The reversal of 2487122683488 is 8843862217842.

2487122683488 is a `hidden beast` number, since 2 + 4 + 8 + 71 + 2 + 2 + 6 + 83 + 488 = 666.

It is a super-5 number, since 5×24871226834885 (a number of 63 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205592256 + ... + 205604352.

It is an arithmetic number, because the mean of its divisors is an integer number (19847010960).

Almost surely, 22487122683488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2487122683488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810626104320).

2487122683488 is an abundant number, since it is smaller than the sum of its proper divisors (5134129525152).

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

2487122683488 is a wasteful number, since it uses less digits than its factorization.

2487122683488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12307 (or 12293 counting only the distinct ones).

The product of its digits is 66060288, while the sum is 63.

The spelling of 2487122683488 in words is "two trillion, four hundred eighty-seven billion, one hundred twenty-two million, six hundred eighty-three thousand, four hundred eighty-eight".