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12430553512 = 23134119115263
BaseRepresentation
bin10111001001110101…
…10011000110101000
31012002022021112201211
423210322303012220
5200424210203022
65413245522504
7620016650536
oct134472630650
935068245654
1012430553512
1152a97a5923
1224aab73434
131231413010
1485cc97156
154cb46be77
hex2e4eb31a8

12430553512 has 64 divisors (see below), whose sum is σ = 25848668160. Its totient is φ = 5567577600.

The previous prime is 12430553503. The next prime is 12430553519. The reversal of 12430553512 is 21535503421.

12430553512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124305535122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12430553519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806793 + ... + 822055.

It is an arithmetic number, because the mean of its divisors is an integer number (403885440).

Almost surely, 212430553512 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 12430553512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12924334080).

12430553512 is an abundant number, since it is smaller than the sum of its proper divisors (13418114648).

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

12430553512 is a wasteful number, since it uses less digits than its factorization.

12430553512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15514 (or 15510 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 12430553512 in words is "twelve billion, four hundred thirty million, five hundred fifty-three thousand, five hundred twelve".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 191 328 382 533 764 1066 1528 2132 2483 4264 4966 7831 9932 15263 15662 19864 30526 31324 61052 62648 101803 122104 198419 203606 396838 407212 625783 793676 814424 1251566 1587352 2503132 2915233 5006264 5830466 8135179 11660932 16270358 23321864 32540716 37898029 65081432 75796058 119524553 151592116 239049106 303184232 478098212 956196424 1553819189 3107638378 6215276756 12430553512