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1052415431055 = 325192917421973
BaseRepresentation
bin11110101000010001101…
…10010001000110001111
310201121110122022012121100
433110020312101012033
5114220321322243210
62123250055034143
7136014556364562
oct17241066210617
93647418265540
101052415431055
1137636609005a
1214bb6b96b953
137831c597ac1
1438d198924d9
151c5981ce5c0
hexf508d9118f

1052415431055 has 48 divisors (see below), whose sum is σ = 1920859405920. Its totient is φ = 531563192064.

The previous prime is 1052415431047. The next prime is 1052415431057. The reversal of 1052415431055 is 5501345142501.

1052415431055 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 4 + 1 + 543 + 105 + 5 = 666.

It is not a de Polignac number, because 1052415431055 - 23 = 1052415431047 is a prime.

It is a super-2 number, since 2×10524154310552 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052415431057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2283049 + ... + 2705021.

It is an arithmetic number, because the mean of its divisors is an integer number (40017904290).

Almost surely, 21052415431055 is an apocalyptic number.

1052415431055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1052415431055 is a deficient number, since it is larger than the sum of its proper divisors (868443974865).

1052415431055 is a wasteful number, since it uses less digits than its factorization.

1052415431055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424920 (or 424917 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 1052415431055 in words is "one trillion, fifty-two billion, four hundred fifteen million, four hundred thirty-one thousand, fifty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 2917 8751 14585 26253 43755 55423 131265 166269 277115 421973 498807 831345 1265919 2109865 2494035 3797757 6329595 8017487 18988785 24052461 40087435 72157383 120262305 360786915 1230895241 3692685723 6154476205 11078057169 18463428615 23387009579 55390285845 70161028737 116935047895 210483086211 350805143685 1052415431055