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81803917160 = 23573719141341
BaseRepresentation
bin100110000101111100…
…1001011011101101000
321211011001111120010122
41030023321023131220
52320013300322120
6101325153502412
75624114552210
oct1141371133550
9254131446118
1081803917160
11317691a6809
1213a2bb71a08
137938a96b14
143d60591240
1521dba4ca25
hex130be4b768

81803917160 has 128 divisors (see below), whose sum is σ = 217174487040. Its totient is φ = 27145497600.

The previous prime is 81803917121. The next prime is 81803917163. The reversal of 81803917160 is 6171930818.

It is not an unprimeable number, because it can be changed into a prime (81803917163) 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 31 ways as a sum of consecutive naturals, for example, 1958090 + ... + 1999430.

It is an arithmetic number, because the mean of its divisors is an integer number (1696675680).

Almost surely, 281803917160 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 81803917160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108587243520).

81803917160 is an abundant number, since it is smaller than the sum of its proper divisors (135370569880).

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

81803917160 is a wasteful number, since it uses less digits than its factorization.

81803917160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41587 (or 41583 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 44.

The spelling of 81803917160 in words is "eighty-one billion, eight hundred three million, nine hundred seventeen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 191 259 280 296 370 382 518 740 764 955 1036 1295 1337 1480 1528 1910 2072 2590 2674 3820 5180 5348 6685 7067 7640 10360 10696 13370 14134 26740 28268 35335 41341 49469 53480 56536 70670 82682 98938 141340 165364 197876 206705 247345 282680 289387 330728 395752 413410 494690 578774 826820 989380 1157548 1446935 1529617 1653640 1978760 2315096 2893870 3059234 5787740 6118468 7648085 7896131 10707319 11575480 12236936 15296170 15792262 21414638 30592340 31584524 39480655 42829276 53536595 55272917 61184680 63169048 78961310 85658552 107073190 110545834 157922620 214146380 221091668 276364585 292156847 315845240 428292760 442183336 552729170 584313694 1105458340 1168627388 1460784235 2045097929 2210916680 2337254776 2921568470 4090195858 5843136940 8180391716 10225489645 11686273880 16360783432 20450979290 40901958580 81803917160