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78366338460 = 22355113142697
BaseRepresentation
bin100100011111011111…
…1110110110110011100
321111021111002110200000
41020332333312312130
52240443240312320
6100000114334300
75442663612654
oct1107677666634
9244244073600
1078366338460
1130264833a83
121323088a390
13750b844597
143b15c01364
152089d70c90
hex123eff6d9c

78366338460 has 144 divisors (see below), whose sum is σ = 248698640736. Its totient is φ = 20712609792.

The previous prime is 78366338443. The next prime is 78366338543. The reversal of 78366338460 is 6483366387.

It is a super-2 number, since 2×783663384602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78366338397 and 78366338406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477832 + ... + 620528.

It is an arithmetic number, because the mean of its divisors is an integer number (1727073894).

Almost surely, 278366338460 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 78366338460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124349320368).

78366338460 is an abundant number, since it is smaller than the sum of its proper divisors (170332302276).

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

78366338460 is a wasteful number, since it uses less digits than its factorization.

78366338460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142834 (or 142820 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 78366338460 in words is "seventy-eight billion, three hundred sixty-six million, three hundred thirty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 113 135 162 180 226 243 270 324 339 405 452 486 540 565 678 810 972 1017 1130 1215 1356 1620 1695 2034 2260 2430 3051 3390 4068 4860 5085 6102 6780 9153 10170 12204 15255 18306 20340 27459 30510 36612 45765 54918 61020 91530 109836 137295 142697 183060 274590 285394 428091 549180 570788 713485 856182 1284273 1426970 1712364 2140455 2568546 2853940 3852819 4280910 5137092 6421365 7705638 8561820 11558457 12842730 15411276 16124761 19264095 23116914 25685460 32249522 34675371 38528190 46233828 48374283 57792285 64499044 69350742 77056380 80623805 96748566 115584570 138701484 145122849 161247610 173376855 193497132 231169140 241871415 290245698 322495220 346753710 435368547 483742830 580491396 693507420 725614245 870737094 967485660 1306105641 1451228490 1741474188 2176842735 2612211282 2902456980 3918316923 4353685470 5224422564 6530528205 7836633846 8707370940 13061056410 15673267692 19591584615 26122112820 39183169230 78366338460