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809108489040 = 2435311033105277
BaseRepresentation
bin10111100011000101001…
…11111100001101010000
32212100110011100220222120
423301202213330031100
5101224023233122130
61415411014534240
7112312314452445
oct13614247741520
92770404326876
10809108489040
11292160715395
12110988967380
135b3b6053367
142b237d3b9cc
15160a7c9d910
hexbc629fc350

809108489040 has 160 divisors (see below), whose sum is σ = 2591678217216. Its totient is φ = 208598077440.

The previous prime is 809108489029. The next prime is 809108489053. The reversal of 809108489040 is 40984801908.

809108489040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7632882 + ... + 7738158.

Almost surely, 2809108489040 is an apocalyptic number.

809108489040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809108489040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295839108608).

809108489040 is an abundant number, since it is smaller than the sum of its proper divisors (1782569728176).

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

809108489040 is a wasteful number, since it uses less digits than its factorization.

809108489040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106357 (or 106351 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The spelling of 809108489040 in words is "eight hundred nine billion, one hundred eight million, four hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1033 1240 1488 1860 2066 2480 3099 3720 4132 5165 6198 7440 8264 10330 12396 15495 16528 20660 24792 30990 32023 41320 49584 61980 64046 82640 96069 105277 123960 128092 160115 192138 210554 247920 256184 315831 320230 384276 421108 480345 512368 526385 631662 640460 768552 842216 960690 1052770 1263324 1280920 1537104 1579155 1684432 1921380 2105540 2526648 2561840 3158310 3263587 3842760 4211080 5053296 6316620 6527174 7685520 8422160 9790761 12633240 13054348 16317935 19581522 25266480 26108696 32635870 39163044 48953805 52217392 65271740 78326088 97907610 108751141 130543480 156652176 195815220 217502282 261086960 326253423 391630440 435004564 543755705 652506846 783260880 870009128 1087511410 1305013692 1631267115 1740018256 2175022820 2610027384 3262534230 3371285371 4350045640 5220054768 6525068460 6742570742 8700091280 10113856113 13050136920 13485141484 16856426855 20227712226 26100273840 26970282968 33712853710 40455424452 50569280565 53940565936 67425707420 80910848904 101138561130 134851414840 161821697808 202277122260 269702829680 404554244520 809108489040