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1007282733124 = 22376805964413
BaseRepresentation
bin11101010100001101011…
…10101100000001000100
310120021222021011121012111
432222012232230001010
5113000403334424444
62050423404430404
7132526255651063
oct16520656540104
93507867147174
101007282733124
113592059300a8
12143274b48404
1373ca9035195
1436a777601da
151b305ccd234
hexea86bac044

1007282733124 has 12 divisors (see below), whose sum is σ = 1810386534124. Its totient is φ = 490029437664.

The previous prime is 1007282733103. The next prime is 1007282733131. The reversal of 1007282733124 is 4213372827001.

It can be written as a sum of positive squares in 2 ways, for example, as 561015980100 + 446266753024 = 749010^2 + 668032^2 .

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 3 ways as a sum of consecutive naturals, for example, 3402982059 + ... + 3402982354.

Almost surely, 21007282733124 is an apocalyptic number.

It is an amenable number.

1007282733124 is a deficient number, since it is larger than the sum of its proper divisors (803103801000).

1007282733124 is a wasteful number, since it uses less digits than its factorization.

1007282733124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6805964454 (or 6805964452 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 1007282733124 in words is "one trillion, seven billion, two hundred eighty-two million, seven hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 37 74 148 6805964413 13611928826 27223857652 251820683281 503641366562 1007282733124