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12504225432 = 23319179307499
BaseRepresentation
bin10111010010100111…
…10101011010011000
31012021102220110121110
423221103311122120
5201102040203212
65424440540320
7621603106506
oct135123653230
935242813543
1012504225432
115337344706
12250b7816a0
131243768c7a
14868993676
154d2b70a3c
hex2e94f5698

12504225432 has 128 divisors (see below), whose sum is σ = 33264000000. Its totient is φ = 3906009216.

The previous prime is 12504225431. The next prime is 12504225439. The reversal of 12504225432 is 23452240521.

It is a self number, because there is not a number n which added to its sum of digits gives 12504225432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12504225431) 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, 25058319 + ... + 25058817.

It is an arithmetic number, because the mean of its divisors is an integer number (259875000).

Almost surely, 212504225432 is an apocalyptic number.

12504225432 is a gapful number since it is divisible by the number (12) 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 12504225432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632000000).

12504225432 is an abundant number, since it is smaller than the sum of its proper divisors (20759774568).

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

12504225432 is a wasteful number, since it uses less digits than its factorization.

12504225432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 12504225432 its reverse (23452240521), we get a palindrome (35956465953).

The spelling of 12504225432 in words is "twelve billion, five hundred four million, two hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 179 228 307 358 456 499 537 614 716 921 998 1074 1228 1432 1497 1842 1996 2148 2456 2994 3401 3684 3992 4296 5833 5988 6802 7368 9481 10203 11666 11976 13604 17499 18962 20406 23332 27208 28443 34998 37924 40812 46664 54953 56886 69996 75848 81624 89321 109906 113772 139992 153193 164859 178642 219812 227544 267963 306386 329718 357284 439624 459579 535926 612772 659436 714568 919158 1044107 1071852 1225544 1318872 1697099 1838316 2088214 2143704 2910667 3132321 3394198 3676632 4176428 5091297 5821334 6264642 6788396 8352856 8732001 10182594 11642668 12529284 13576792 17464002 20365188 23285336 25058568 27421547 34928004 40730376 54843094 69856008 82264641 109686188 164529282 219372376 329058564 521009393 658117128 1042018786 1563028179 2084037572 3126056358 4168075144 6252112716 12504225432