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12625527040 = 28572775087
BaseRepresentation
bin10111100001000101…
…00100000100000000
31012120220011020010121
423300202210010000
5201324113331130
65444452510024
7624605131510
oct136042440400
935526136117
1012625527040
115399865375
12254431b314
13126292a479
1487ab2b840
154dd631d7a
hex2f08a4100

12625527040 has 144 divisors (see below), whose sum is σ = 34693972992. Its totient is φ = 4312276992.

The previous prime is 12625526899. The next prime is 12625527049. The reversal of 12625527040 is 4072552621.

It is a junction number, because it is equal to n+sod(n) for n = 12625526987 and 12625527005.

It is not an unprimeable number, because it can be changed into a prime (12625527049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2479377 + ... + 2484463.

It is an arithmetic number, because the mean of its divisors is an integer number (240930368).

Almost surely, 212625527040 is an apocalyptic number.

12625527040 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 12625527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17346986496).

12625527040 is an abundant number, since it is smaller than the sum of its proper divisors (22068445952).

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

12625527040 is an equidigital number, since it uses as much as digits as its factorization.

12625527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 12625527040 in words is "twelve billion, six hundred twenty-five million, five hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 277 280 320 448 554 560 640 896 1108 1120 1280 1385 1792 1939 2216 2240 2770 3878 4432 4480 5087 5540 7756 8864 8960 9695 10174 11080 15512 17728 19390 20348 22160 25435 31024 35456 35609 38780 40696 44320 50870 62048 70912 71218 77560 81392 88640 101740 124096 142436 155120 162784 177280 178045 203480 248192 284872 310240 325568 354560 356090 406960 496384 569744 620480 651136 712180 813920 1139488 1240960 1302272 1409099 1424360 1627840 2278976 2481920 2818198 2848720 3255680 4557952 5636396 5697440 6511360 7045495 9115904 9863693 11272792 11394880 14090990 19727386 22545584 22789760 28181980 39454772 45091168 45579520 49318465 56363960 78909544 90182336 98636930 112727920 157819088 180364672 197273860 225455840 315638176 360729344 394547720 450911680 631276352 789095440 901823360 1262552704 1578190880 1803646720 2525105408 3156381760 6312763520 12625527040