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12946025040 = 2435134149367
BaseRepresentation
bin11000000111010010…
…01010101001010000
31020102020020012201220
430003221022221100
5203003140300130
65540342125040
7635546253144
oct140351125120
936366205656
1012946025040
11554376a253
122613720780
1312b4154260
148ab519224
1550b83e410
hex303a4aa50

12946025040 has 80 divisors (see below), whose sum is σ = 43219817088. Its totient is φ = 3186713088.

The previous prime is 12946025033. The next prime is 12946025047. The reversal of 12946025040 is 4052064921.

It is an interprime number because it is at equal distance from previous prime (12946025033) and next prime (12946025047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12946024992 and 12946025010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12946025047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2071564 + ... + 2077803.

Almost surely, 212946025040 is an apocalyptic number.

12946025040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12946025040 is an abundant number, since it is smaller than the sum of its proper divisors (30273792048).

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

12946025040 is a wasteful number, since it uses less digits than its factorization.

12946025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149396 (or 4149390 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 12946025040 its reverse (4052064921), we get a palindrome (16998089961).

The spelling of 12946025040 in words is "twelve billion, nine hundred forty-six million, twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 4149367 8298734 12448101 16597468 20746835 24896202 33194936 41493670 49792404 53941771 62240505 66389872 82987340 99584808 107883542 124481010 161825313 165974680 199169616 215767084 248962020 269708855 323650626 331949360 431534168 497924040 539417710 647301252 809126565 863068336 995848080 1078835420 1294602504 1618253130 2157670840 2589205008 3236506260 4315341680 6473012520 12946025040