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84379211340 = 223517239934483
BaseRepresentation
bin100111010010101100…
…1001001011001001100
322001210112101001121120
41032211121021121030
52340302034230330
6102432511200540
76044665314414
oct1164531113114
9261715331546
1084379211340
113286a957406
121442a516150
137c59499728
144126601644
1522dcb9cc10
hex13a564964c

84379211340 has 96 divisors (see below), whose sum is σ = 250271078400. Its totient is φ = 21168086016.

The previous prime is 84379211321. The next prime is 84379211359. The reversal of 84379211340 is 4311297348.

It is an interprime number because it is at equal distance from previous prime (84379211321) and next prime (84379211359).

It is a junction number, because it is equal to n+sod(n) for n = 84379211292 and 84379211301.

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, 2429739 + ... + 2464221.

It is an arithmetic number, because the mean of its divisors is an integer number (2606990400).

Almost surely, 284379211340 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 84379211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125135539200).

84379211340 is an abundant number, since it is smaller than the sum of its proper divisors (165891867060).

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

84379211340 is a wasteful number, since it uses less digits than its factorization.

84379211340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36911 (or 36909 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 84379211340 in words is "eighty-four billion, three hundred seventy-nine million, two hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 2399 4798 7197 9596 11995 14394 23990 28788 34483 35985 40783 47980 68966 71970 81566 103449 122349 137932 143940 163132 172415 203915 206898 244698 344830 407830 413796 489396 517245 586211 611745 689660 815660 1034490 1172422 1223490 1758633 2068980 2344844 2446980 2931055 3517266 5862110 7034532 8793165 11724220 17586330 35172660 82724717 165449434 248174151 330898868 413623585 496348302 827247170 992696604 1240870755 1406320189 1654494340 2481741510 2812640378 4218960567 4963483020 5625280756 7031600945 8437921134 14063201890 16875842268 21094802835 28126403780 42189605670 84379211340