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8161301820 = 22357210326951
BaseRepresentation
bin1111001100111001…
…11001010100111100
3210001202221002101210
413212130321110330
5113203243124240
63425501004420
7406146630600
oct74634712474
923052832353
108161301820
113508929941
1216b9253710
13a00a9b299
14575c95500
1532b75d780
hex1e673953c

8161301820 has 144 divisors (see below), whose sum is σ = 26841604608. Its totient is φ = 1847260800.

The previous prime is 8161301801. The next prime is 8161301821. The reversal of 8161301820 is 281031618.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8161301821) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 289345 + ... + 316295.

It is an arithmetic number, because the mean of its divisors is an integer number (186400032).

Almost surely, 28161301820 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 8161301820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13420802304).

8161301820 is an abundant number, since it is smaller than the sum of its proper divisors (18680302788).

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

8161301820 is a wasteful number, since it uses less digits than its factorization.

8161301820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27080 (or 27071 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 8161301820 is about 90339.9237325337. The cubic root of 8161301820 is about 2013.3524756475.

The spelling of 8161301820 in words is "eight billion, one hundred sixty-one million, three hundred one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 103 105 140 147 196 206 210 245 294 309 412 420 490 515 588 618 721 735 980 1030 1236 1442 1470 1545 2060 2163 2884 2940 3090 3605 4326 5047 6180 7210 8652 10094 10815 14420 15141 20188 21630 25235 26951 30282 43260 50470 53902 60564 75705 80853 100940 107804 134755 151410 161706 188657 269510 302820 323412 377314 404265 539020 565971 754628 808530 943285 1131942 1320599 1617060 1886570 2263884 2641198 2775953 2829855 3773140 3961797 5282396 5551906 5659710 6602995 7923594 8327859 11103812 11319420 13205990 13879765 15847188 16655718 19431671 19808985 26411980 27759530 33311436 38863342 39617970 41639295 55519060 58295013 77726684 79235940 83278590 97158355 116590026 136021697 166557180 194316710 233180052 272043394 291475065 388633420 408065091 544086788 582950130 680108485 816130182 1165900260 1360216970 1632260364 2040325455 2720433940 4080650910 8161301820