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12485254008 = 23319712711423
BaseRepresentation
bin10111010000010110…
…11101101101111000
31012020010012121201010
423220023131231320
5201032211112013
65422522153520
7621252623313
oct135013355570
935203177633
1012485254008
115327667147
1225053528a0
13123c855a86
1486625597a
154d11747c3
hex2e82ddb78

12485254008 has 128 divisors (see below), whose sum is σ = 33465139200. Its totient is φ = 3870115200.

The previous prime is 12485254003. The next prime is 12485254009. The reversal of 12485254008 is 80045258421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12485254003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8773185 + ... + 8774607.

It is an arithmetic number, because the mean of its divisors is an integer number (261446400).

Almost surely, 212485254008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12485254008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16732569600).

12485254008 is an abundant number, since it is smaller than the sum of its proper divisors (20979885192).

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

12485254008 is a wasteful number, since it uses less digits than its factorization.

12485254008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The spelling of 12485254008 in words is "twelve billion, four hundred eighty-five million, two hundred fifty-four thousand, eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 71 76 114 142 152 213 228 271 284 426 456 542 568 813 852 1084 1349 1423 1626 1704 2168 2698 2846 3252 4047 4269 5149 5396 5692 6504 8094 8538 10298 10792 11384 15447 16188 17076 19241 20596 27037 30894 32376 34152 38482 41192 54074 57723 61788 76964 81111 101033 108148 115446 123576 153928 162222 202066 216296 230892 303099 324444 365579 385633 404132 461784 606198 648888 731158 771266 808264 1096737 1156899 1212396 1462316 1542532 1919627 2193474 2313798 2424792 2924632 3085064 3839254 4386948 4627596 5758881 7327027 7678508 8773896 9255192 11517762 14654054 15357016 21981081 23035524 27379943 29308108 43962162 46071048 54759886 58616216 82139829 87924324 109519772 164279658 175848648 219039544 328559316 520218917 657118632 1040437834 1560656751 2080875668 3121313502 4161751336 6242627004 12485254008