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80970000420 = 22352970166383
BaseRepresentation
bin100101101101000110…
…0000010100000100100
321201222221100012102110
41023122030002200210
52311311310003140
6101110324041020
75564340435111
oct1133214024044
9251887305373
1080970000420
11313804aa821
1213838833170
13783509a26a
143cc1917908
15218d726380
hex12da302824

80970000420 has 96 divisors (see below), whose sum is σ = 234871902720. Its totient is φ = 20817395200.

The previous prime is 80970000413. The next prime is 80970000431. The reversal of 80970000420 is 2400007908.

It is a super-2 number, since 2×809700004202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1186549 + ... + 1252931.

It is an arithmetic number, because the mean of its divisors is an integer number (2446582320).

Almost surely, 280970000420 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 80970000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117435951360).

80970000420 is an abundant number, since it is smaller than the sum of its proper divisors (153901902300).

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

80970000420 is a wasteful number, since it uses less digits than its factorization.

80970000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67125 (or 67123 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 80970000420 in words is "eighty billion, nine hundred seventy million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 701 870 1402 1740 2103 2804 3505 4206 7010 8412 10515 14020 20329 21030 40658 42060 60987 66383 81316 101645 121974 132766 199149 203290 243948 265532 304935 331915 398298 406580 609870 663830 796596 995745 1219740 1327660 1925107 1991490 3850214 3982980 5775321 7700428 9625535 11550642 19251070 23101284 28876605 38502140 46534483 57753210 93068966 115506420 139603449 186137932 232672415 279206898 465344830 558413796 698017245 930689660 1349500007 1396034490 2699000014 2792068980 4048500021 5398000028 6747500035 8097000042 13495000070 16194000084 20242500105 26990000140 40485000210 80970000420