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1055507077752 = 23383529873031
BaseRepresentation
bin11110101110000010001…
…11111101101001111000
310201220110002210010120120
433113001013331221320
5114243134302442002
62124520535453240
7136154310062031
oct17270107755170
93656402703516
101055507077752
11377702256a76
12150693227220
13786c2c5994a
1439130313a88
151c6c9827cbc
hexf5c11fda78

1055507077752 has 32 divisors (see below), whose sum is σ = 2670560081280. Its totient is φ = 347596707680.

The previous prime is 1055507077717. The next prime is 1055507077759. The reversal of 1055507077752 is 2577707055501.

It is a happy number.

It is a super-2 number, since 2×10555070777522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055507077695 and 1055507077704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055507077759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264934524 + ... + 264938507.

It is an arithmetic number, because the mean of its divisors is an integer number (83455002540).

Almost surely, 21055507077752 is an apocalyptic number.

1055507077752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1055507077752 is an abundant number, since it is smaller than the sum of its proper divisors (1615053003528).

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

1055507077752 is a wasteful number, since it uses less digits than its factorization.

1055507077752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529873123 (or 529873119 counting only the distinct ones).

The product of its (nonzero) digits is 3001250, while the sum is 51.

The spelling of 1055507077752 in words is "one trillion, fifty-five billion, five hundred seven million, seventy-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1992 529873031 1059746062 1589619093 2119492124 3179238186 4238984248 6358476372 12716952744 43979461573 87958923146 131938384719 175917846292 263876769438 351835692584 527753538876 1055507077752