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2488027983012 = 22351113174347521
BaseRepresentation
bin100100001101001010000…
…001100010110010100100
322210212000221121002100000
4210031022001202302210
5311230440130424022
65142552334221300
7344516436625665
oct44151201426244
98725027532300
102488027983012
1187a191a2a770
12342243654830
1315080a297510
14885c7a9b36c
1544abca6b6ac
hex2434a062ca4

2488027983012 has 1152 divisors, whose sum is σ = 8494652694528. Its totient is φ = 624966451200.

The previous prime is 2488027982987. The next prime is 2488027983041. The reversal of 2488027983012 is 2103897208842.

2488027983012 is a `hidden beast` number, since 2 + 488 + 0 + 2 + 79 + 83 + 0 + 12 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2488027983012.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4775485312 + ... + 4775485832.

It is an arithmetic number, because the mean of its divisors is an integer number (7373830464).

Almost surely, 22488027983012 is an apocalyptic number.

2488027983012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2488027983012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247326347264).

2488027983012 is an abundant number, since it is smaller than the sum of its proper divisors (6006624711516).

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

2488027983012 is a wasteful number, since it uses less digits than its factorization.

2488027983012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 2488027983012 in words is "two trillion, four hundred eighty-eight billion, twenty-seven million, nine hundred eighty-three thousand, twelve".