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12530025456 = 24313192933607
BaseRepresentation
bin10111010101101100…
…10000001111110000
31012100020110020120220
423222312100033300
5201130141303311
65431201533040
7622335313314
oct135266201760
935306406526
1012530025456
11534a966643
122518344180
131248c00360
1486c18bb44
154d506a206
hex2ead903f0

12530025456 has 160 divisors (see below), whose sum is σ = 36829309440. Its totient is φ = 3639002112.

The previous prime is 12530025449. The next prime is 12530025461. The reversal of 12530025456 is 65452003521.

12530025456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3472005 + ... + 3475611.

It is an arithmetic number, because the mean of its divisors is an integer number (230183184).

Almost surely, 212530025456 is an apocalyptic number.

12530025456 is a gapful number since it is divisible by the number (16) 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 12530025456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18414654720).

12530025456 is an abundant number, since it is smaller than the sum of its proper divisors (24299283984).

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

12530025456 is a wasteful number, since it uses less digits than its factorization.

12530025456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 12530025456 its reverse (65452003521), we get a palindrome (77982028977).

The spelling of 12530025456 in words is "twelve billion, five hundred thirty million, twenty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 293 304 312 456 494 586 624 741 879 912 988 1172 1482 1758 1976 2344 2964 3516 3607 3809 3952 4688 5567 5928 7032 7214 7618 10821 11134 11427 11856 14064 14428 15236 16701 21642 22268 22854 28856 30472 33402 43284 44536 45708 46891 57712 60944 66804 68533 72371 86568 89072 91416 93782 133608 137066 140673 144742 173136 182832 187564 205599 217113 267216 274132 281346 289484 375128 411198 434226 548264 562692 578968 750256 822396 868452 890929 1056851 1096528 1125384 1157936 1644792 1736904 1781858 2113702 2250768 2672787 3170553 3289584 3473808 3563716 4227404 5345574 6341106 7127432 8454808 10691148 12682212 13739063 14254864 16909616 20080169 21382296 25364424 27478126 40160338 41217189 42764592 50728848 54956252 60240507 80320676 82434378 109912504 120481014 160641352 164868756 219825008 240962028 261042197 321282704 329737512 481924056 522084394 659475024 783126591 963848112 1044168788 1566253182 2088337576 3132506364 4176675152 6265012728 12530025456