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1025430450012 = 2233171231453707
BaseRepresentation
bin11101110110000000110…
…10101110111101011100
310122000211000022010201000
432323000122232331130
5113300040143400022
62103024245150300
7134041060003503
oct16730032567534
93560730263630
101025430450012
11365978835431
1214689a6bb390
137590ba453b7
14378b9a3d83a
151ba191146ac
hexeec06aef5c

1025430450012 has 96 divisors (see below), whose sum is σ = 2817200010240. Its totient is φ = 321441626880.

The previous prime is 1025430449957. The next prime is 1025430450047. The reversal of 1025430450012 is 2100540345201.

1025430450012 is a `hidden beast` number, since 102 + 5 + 43 + 0 + 4 + 500 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2033263 + ... + 2486969.

It is an arithmetic number, because the mean of its divisors is an integer number (29345833440).

Almost surely, 21025430450012 is an apocalyptic number.

1025430450012 is a gapful number since it is divisible by the number (12) 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 1025430450012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408600005120).

1025430450012 is an abundant number, since it is smaller than the sum of its proper divisors (1791769560228).

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

1025430450012 is a wasteful number, since it uses less digits than its factorization.

1025430450012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454968 (or 454960 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1025430450012 its reverse (2100540345201), we get a palindrome (3125970795213).

The spelling of 1025430450012 in words is "one trillion, twenty-five billion, four hundred thirty million, four hundred fifty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1231 1836 2462 3693 4924 7386 11079 14772 20927 22158 33237 41854 44316 62781 66474 83708 125562 132948 188343 251124 376686 453707 565029 753372 907414 1130058 1361121 1814828 2260116 2722242 4083363 5444484 7713019 8166726 12250089 15426038 16333452 23139057 24500178 30852076 46278114 49000356 69417171 92556228 138834342 208251513 277668684 416503026 558513317 833006052 1117026634 1675539951 2234053268 3351079902 5026619853 6702159804 9494726389 10053239706 15079859559 18989452778 20106479412 28484179167 30159719118 37978905556 56968358334 60319438236 85452537501 113936716668 170905075002 256357612503 341810150004 512715225006 1025430450012