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808148456424432 = 243314389130010009
BaseRepresentation
bin1011011111000000011011100…
…1101010111100001111110000
310220222102020102102212101102000
42313300012321222330033300
51321411201014321040212
611542442135310254000
7332136541060441164
oct26760067152741760
93828366372771360
10808148456424432
112145569212a0492
1276780702ab7300
13288c20c3200986
141037c845cb8ca4
156366be14eb1dc
hex2df01b9abc3f0

808148456424432 has 80 divisors (see below), whose sum is σ = 2319846614436000. Its totient is φ = 269364095294976.

The previous prime is 808148456424389. The next prime is 808148456424437. The reversal of 808148456424432 is 234424654841808.

808148456424432 is a `hidden beast` number, since 8 + 0 + 8 + 1 + 4 + 8 + 4 + 564 + 24 + 43 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 808148456424432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808148456424437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58788957 + ... + 71221052.

It is an arithmetic number, because the mean of its divisors is an integer number (28998082680450).

Almost surely, 2808148456424432 is an apocalyptic number.

It is an amenable number.

808148456424432 is an abundant number, since it is smaller than the sum of its proper divisors (1511698158011568).

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

808148456424432 is a wasteful number, since it uses less digits than its factorization.

808148456424432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130024415 (or 130024403 counting only the distinct ones).

The product of its (nonzero) digits is 188743680, while the sum is 63.

The spelling of 808148456424432 in words is "eight hundred eight trillion, one hundred forty-eight billion, four hundred fifty-six million, four hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 14389 28778 43167 57556 86334 115112 129501 172668 230224 259002 345336 388503 518004 690672 777006 1036008 1554012 2072016 3108024 6216048 130010009 260020018 390030027 520040036 780060054 1040080072 1170090081 1560120108 2080160144 2340180162 3120240216 3510270243 4680360324 6240480432 7020540486 9360720648 14041080972 18721441296 28082161944 56164323888 1870714019501 3741428039002 5612142058503 7482856078004 11224284117006 14965712156008 16836426175509 22448568234012 29931424312016 33672852351018 44897136468024 50509278526527 67345704702036 89794272936048 101018557053054 134691409404072 202037114106108 269382818808144 404074228212216 808148456424432