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12468376734320 = 245137122378263
BaseRepresentation
bin1011010101110000010100…
…1010101000101001110000
31122010222001121112110202202
42311130011022220221300
53113240213420444240
642303520533002332
72424544666403123
oct265340512505160
948128047473682
1012468376734320
113a77899686791
1214945561833a8
136c59bc084b20
14311688d683ba
151694e7682315
hexb57052a8a70

12468376734320 has 120 divisors (see below), whose sum is σ = 31664806218528. Its totient is φ = 4538865461760.

The previous prime is 12468376734239. The next prime is 12468376734349. The reversal of 12468376734320 is 2343767386421.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4053509 + ... + 6431771.

Almost surely, 212468376734320 is an apocalyptic number.

12468376734320 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 12468376734320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832403109264).

12468376734320 is an abundant number, since it is smaller than the sum of its proper divisors (19196429484208).

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

12468376734320 is a wasteful number, since it uses less digits than its factorization.

12468376734320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378431 (or 2378354 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 56.

The spelling of 12468376734320 in words is "twelve trillion, four hundred sixty-eight billion, three hundred seventy-six million, seven hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 71 80 104 130 142 208 260 284 355 520 568 710 923 1040 1136 1420 1846 2840 3692 4615 5041 5680 7384 9230 10082 14768 18460 20164 25205 36920 40328 50410 65533 73840 80656 100820 131066 201640 262132 327665 403280 524264 655330 1048528 1310660 2378263 2621320 4756526 5242640 9513052 11891315 19026104 23782630 30917419 38052208 47565260 61834838 95130520 123669676 154587095 168856673 190261040 247339352 309174190 337713346 494678704 618348380 675426692 844283365 1236696760 1350853384 1688566730 2195136749 2473393520 2701706768 3377133460 4390273498 6754266920 8780546996 10975683745 11988823783 13508533840 17561093992 21951367490 23977647566 35122187984 43902734980 47955295132 59944118915 87805469960 95910590264 119888237830 155854709179 175610939920 191821180528 239776475660 311709418358 479552951320 623418836716 779273545895 959105902640 1246837673432 1558547091790 2493675346864 3117094183580 6234188367160 12468376734320