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12430536540 = 22355914812371
BaseRepresentation
bin10111001001110101…
…01110111101011100
31012002022020200110020
423210322232331130
5200424204132130
65413245312140
7620016550212
oct134472567534
935068220406
1012430536540
1152a97940a4
1224aab65650
131231408386
1485cc90cb2
154cb466e10
hex2e4eaef5c

12430536540 has 96 divisors (see below), whose sum is σ = 35434264320. Its totient is φ = 3255052800.

The previous prime is 12430536523. The next prime is 12430536541. The reversal of 12430536540 is 4563503421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12430536541) 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, 5241555 + ... + 5243925.

It is an arithmetic number, because the mean of its divisors is an integer number (369106920).

Almost surely, 212430536540 is an apocalyptic number.

12430536540 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 12430536540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717132160).

12430536540 is an abundant number, since it is smaller than the sum of its proper divisors (23003727780).

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

12430536540 is a wasteful number, since it uses less digits than its factorization.

12430536540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 12430536540 in words is "twelve billion, four hundred thirty million, five hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1481 1770 2371 2962 3540 4443 4742 5924 7113 7405 8886 9484 11855 14226 14810 17772 22215 23710 28452 29620 35565 44430 47420 71130 87379 88860 139889 142260 174758 262137 279778 349516 419667 436895 524274 559556 699445 839334 873790 1048548 1310685 1398890 1678668 1747580 2098335 2621370 2797780 3511451 4196670 5242740 7022902 8393340 10534353 14045804 17557255 21068706 35114510 42137412 52671765 70229020 105343530 207175609 210687060 414351218 621526827 828702436 1035878045 1243053654 2071756090 2486107308 3107634135 4143512180 6215268270 12430536540