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12557050320 = 2435411276123
BaseRepresentation
bin10111011000111010…
…10110000111010000
31012102010022020201210
423230131112013100
5201204101102240
65434005100120
7623114111103
oct135435260720
935363266653
1012557050320
115364144841
1225253b7640
1312516a30b9
148719c473a
154d7607780
hex2ec7561d0

12557050320 has 80 divisors (see below), whose sum is σ = 39876322752. Its totient is φ = 3266872320.

The previous prime is 12557050313. The next prime is 12557050321. The reversal of 12557050320 is 2305075521.

12557050320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12557050321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628222 + ... + 647901.

Almost surely, 212557050320 is an apocalyptic number.

12557050320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12557050320 is an abundant number, since it is smaller than the sum of its proper divisors (27319272432).

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

12557050320 is a wasteful number, since it uses less digits than its factorization.

12557050320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276180 (or 1276174 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The spelling of 12557050320 in words is "twelve billion, five hundred fifty-seven million, fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 1276123 2552246 3828369 5104492 6380615 7656738 10208984 12761230 15313476 19141845 20417968 25522460 30626952 38283690 51044920 52321043 61253904 76567380 102089840 104642086 153134760 156963129 209284172 261605215 306269520 313926258 418568344 523210430 627852516 784815645 837136688 1046420860 1255705032 1569631290 2092841720 2511410064 3139262580 4185683440 6278525160 12557050320