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12508693000 = 235316577549
BaseRepresentation
bin10111010011001001…
…11000001000001000
31012021202022102221221
423221210320020020
5201104211134000
65425120411424
7621656064466
oct135144701010
935252272857
1012508693000
115339916211
122511176b74
1312446715bb
148693d7836
154d325461a
hex2e9938208

12508693000 has 64 divisors (see below), whose sum is σ = 29291886000. Its totient is φ = 4999795200.

The previous prime is 12508692961. The next prime is 12508693019. The reversal of 12508693000 is 39680521.

It can be written as a sum of positive squares in 8 ways, for example, as 896044356 + 11612648644 = 29934^2 + 107762^2 .

It is an unprimeable number.

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, 1653226 + ... + 1660774.

Almost surely, 212508693000 is an apocalyptic number.

12508693000 is a gapful number since it is divisible by the number (10) 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 12508693000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14645943000).

12508693000 is an abundant number, since it is smaller than the sum of its proper divisors (16783193000).

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

12508693000 is a wasteful number, since it uses less digits than its factorization.

12508693000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9227 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 12508693000 in words is "twelve billion, five hundred eight million, six hundred ninety-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1657 3314 6628 7549 8285 13256 15098 16570 30196 33140 37745 41425 60392 66280 75490 82850 150980 165700 188725 207125 301960 331400 377450 414250 754900 828500 943625 1509800 1657000 1887250 3774500 7549000 12508693 25017386 50034772 62543465 100069544 125086930 250173860 312717325 500347720 625434650 1250869300 1563586625 2501738600 3127173250 6254346500 12508693000