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80654484140 = 225172412111613
BaseRepresentation
bin100101100011101100…
…0011100001010101100
321201011221122022110022
41023013120130022230
52310140021443030
6101015133301312
75553456542426
oct1130730341254
9251157568408
1080654484140
113122939876a
121376b034838
1377b48c8b39
143c91a65816
152170b9ede5
hex12c761c2ac

80654484140 has 144 divisors (see below), whose sum is σ = 185300396064. Its totient is φ = 29464780800.

The previous prime is 80654484133. The next prime is 80654484227. The reversal of 80654484140 is 4148445608.

It is a junction number, because it is equal to n+sod(n) for n = 80654484091 and 80654484100.

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 47 ways as a sum of consecutive naturals, for example, 50001974 + ... + 50003586.

It is an arithmetic number, because the mean of its divisors is an integer number (1286808306).

Almost surely, 280654484140 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 80654484140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92650198032).

80654484140 is an abundant number, since it is smaller than the sum of its proper divisors (104645911924).

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

80654484140 is a wasteful number, since it uses less digits than its factorization.

80654484140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 44.

The spelling of 80654484140 in words is "eighty billion, six hundred fifty-four million, four hundred eighty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 211 289 340 410 422 578 697 820 844 1055 1156 1394 1445 1613 2110 2788 2890 3226 3485 3587 4220 5780 6452 6970 7174 8065 8651 11849 13940 14348 16130 17302 17935 23698 27421 32260 34604 35870 43255 47396 54842 59245 60979 66133 71740 86510 109684 118490 121958 132266 137105 147067 173020 236980 243916 264532 274210 294134 304895 330665 340343 466157 548420 588268 609790 661330 680686 735335 932314 1124261 1219580 1322660 1361372 1470670 1701715 1864628 2248522 2330785 2500139 2941340 3403430 4497044 4661570 5000278 5621305 5785831 6806860 9323140 10000556 11242610 11571662 12500695 13954063 19112437 22485220 23143324 25001390 27908126 28929155 38224874 50002780 55816252 57858310 69770315 76449748 95562185 98359127 115716620 139540630 191124370 196718254 237219071 279081260 382248740 393436508 474438142 491795635 948876284 983591270 1186095355 1967182540 2372190710 4032724207 4744381420 8065448414 16130896828 20163621035 40327242070 80654484140