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12345505020 = 2232568586139
BaseRepresentation
bin10110111111101100…
…10111010011111100
31011212101020122010200
423133312113103330
5200240422130040
65401011003500
7614635030002
oct133766272374
934771218120
1012345505020
115265796712
122486599590
131219905a74
14851878a72
154c3c6c630
hex2dfd974fc

12345505020 has 36 divisors (see below), whose sum is σ = 37448032440. Its totient is φ = 3292134624.

The previous prime is 12345504991. The next prime is 12345505049. The reversal of 12345505020 is 2050554321.

It is a happy number.

12345505020 is a `hidden beast` number, since 12 + 34 + 550 + 50 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12345504991) and next prime (12345505049).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×123455050202 (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 34292890 + ... + 34293249.

Almost surely, 212345505020 is an apocalyptic number.

12345505020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12345505020 is an abundant number, since it is smaller than the sum of its proper divisors (25102527420).

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

12345505020 is a wasteful number, since it uses less digits than its factorization.

12345505020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68586154 (or 68586149 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 12345505020 in words is "twelve billion, three hundred forty-five million, five hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 68586139 137172278 205758417 274344556 342930695 411516834 617275251 685861390 823033668 1028792085 1234550502 1371722780 2057584170 2469101004 3086376255 4115168340 6172752510 12345505020