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12530438724320 = 2551141221172717
BaseRepresentation
bin1011011001010111100001…
…0110010101101011100000
31122100220020211010020000222
42312111320112111223200
53120244314303134240
642352223140502212
72432202644535356
oct266257026255340
948326224106028
1012530438724320
113aa1146aa0410
1214a45966aa968
136cb7cca8202a
143146956117d6
1516ae2ae3eeb5
hexb6578595ae0

12530438724320 has 96 divisors (see below), whose sum is σ = 32295328412256. Its totient is φ = 4556386252800.

The previous prime is 12530438724301. The next prime is 12530438724343. The reversal of 12530438724320 is 2342783403521.

12530438724320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72462602 + ... + 72635318.

It is an arithmetic number, because the mean of its divisors is an integer number (336409670961).

Almost surely, 212530438724320 is an apocalyptic number.

12530438724320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12530438724320 is an abundant number, since it is smaller than the sum of its proper divisors (19764889687936).

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

12530438724320 is a wasteful number, since it uses less digits than its factorization.

12530438724320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213964 (or 213956 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 12530438724320 in words is "twelve trillion, five hundred thirty billion, four hundred thirty-eight million, seven hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 41221 82442 164884 172717 206105 329768 345434 412210 453431 659536 690868 824420 863585 906862 1319072 1381736 1648840 1727170 1813724 1899887 2267155 2763472 3297680 3454340 3627448 3799774 4534310 5526944 6595360 6908680 7254896 7599548 9068620 9499435 13817360 14509792 15199096 18137240 18998870 27634720 30398192 36274480 37997740 60796384 72548960 75995480 151990960 303981920 7119567457 14239134914 28478269828 35597837285 56956539656 71195674570 78315242027 113913079312 142391349140 156630484054 227826158624 284782698280 313260968108 391576210135 569565396560 626521936216 783152420270 1139130793120 1253043872432 1566304840540 2506087744864 3132609681080 6265219362160 12530438724320