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12425145460 = 22571312375519
BaseRepresentation
bin10111001001001100…
…01010110001110100
31012001221002210021121
423210212022301310
5200421314123320
65412533553324
7616622664610
oct134446126164
935057083247
1012425145460
1152a6741762
1224a91a5844
13123026b5a0
1485c28a340
154cac4e8aa
hex2e498ac74

12425145460 has 96 divisors (see below), whose sum is σ = 32146007040. Its totient is φ = 3928462848.

The previous prime is 12425145427. The next prime is 12425145463. The reversal of 12425145460 is 6454152421.

It is a super-2 number, since 2×124251454602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12425145463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2248581 + ... + 2254099.

It is an arithmetic number, because the mean of its divisors is an integer number (334854240).

Almost surely, 212425145460 is an apocalyptic number.

12425145460 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 12425145460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16073003520).

12425145460 is an abundant number, since it is smaller than the sum of its proper divisors (19720861580).

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

12425145460 is a wasteful number, since it uses less digits than its factorization.

12425145460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6785 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 12425145460 its reverse (6454152421), we get a palindrome (18879297881).

The spelling of 12425145460 in words is "twelve billion, four hundred twenty-five million, one hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1237 1820 2474 4948 5519 6185 8659 11038 12370 16081 17318 22076 24740 27595 32162 34636 38633 43295 55190 64324 71747 77266 80405 86590 110380 112567 143494 154532 160810 173180 193165 225134 286988 321620 358735 386330 450268 502229 562835 717470 772660 1004458 1125670 1434940 2008916 2251340 2511145 5022290 6827003 10044580 13654006 27308012 34135015 47789021 68270030 88751039 95578042 136540060 177502078 191156084 238945105 355004156 443755195 477890210 621257273 887510390 955780420 1242514546 1775020780 2485029092 3106286365 6212572730 12425145460