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12425115024 = 24327213272
BaseRepresentation
bin10111001001001100…
…00011010110010000
31012001221001020112100
423210212003112100
5200421312140044
65412533200400
7616622510100
oct134446032620
935057036470
1012425115024
1152a6720903
1224a9190100
13123025a78a
1485c27d200
154cac45869
hex2e4983590

12425115024 has 135 divisors (see below), whose sum is σ = 40480805547. Its totient is φ = 3547357632.

The previous prime is 12425115013. The next prime is 12425115061. The reversal of 12425115024 is 42051152421.

It is a happy number.

The square root of 12425115024 is 111468.

It is a perfect power (a square), and thus also a powerful number.

12425115024 is a `hidden beast` number, since 124 + 2 + 511 + 5 + 0 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9362649 + ... + 9363975.

Almost surely, 212425115024 is an apocalyptic number.

12425115024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12425115024 is the 111468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12425115024

12425115024 is an abundant number, since it is smaller than the sum of its proper divisors (28055690523).

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

12425115024 is an equidigital number, since it uses as much as digits as its factorization.

12425115024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 12425115024 its reverse (42051152421), we get a palindrome (54476267445).

It can be divided in two parts, 12425 and 115024, that added together give a square (127449 = 3572).

The spelling of 12425115024 in words is "twelve billion, four hundred twenty-five million, one hundred fifteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1327 1764 2352 2654 3528 3981 5308 7056 7962 9289 10616 11943 15924 18578 21232 23886 27867 31848 37156 47772 55734 63696 65023 74312 83601 95544 111468 130046 148624 167202 191088 195069 222936 260092 334404 390138 445872 520184 585207 668808 780276 1040368 1170414 1337616 1560552 1760929 2340828 3121104 3521858 4681656 5282787 7043716 9363312 10565574 12326503 14087432 15848361 21131148 24653006 28174864 31696722 36979509 42262296 49306012 63393444 73959018 84524592 86285521 98612024 110938527 126786888 147918036 172571042 197224048 221877054 253573776 258856563 295836072 345142084 443754108 517713126 591672144 690284168 776569689 887508216 1035426252 1380568336 1553139378 1775016432 2070852504 3106278756 4141705008 6212557512 12425115024