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80867434384 = 241122322812
BaseRepresentation
bin100101101010000010…
…0110001111110010000
321201201210100022021101
41023110010301332100
52311104030400014
6101052221434144
75561653564552
oct1132404617620
9251653308241
1080867434384
1131328616400
121380a40b954
137819a687b9
143cb20594d2
152184716474
hex12d4131f90

80867434384 has 135 divisors (see below), whose sum is σ = 180675545617. Its totient is φ = 35034630400.

The previous prime is 80867434381. The next prime is 80867434519. The reversal of 80867434384 is 48343476808.

The square root of 80867434384 is 284372.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 54649347984 + 26218086400 = 233772^2 + 161920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80867434381) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 287784324 + ... + 287784604.

Almost surely, 280867434384 is an apocalyptic number.

80867434384 is the 284372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80867434384

80867434384 is an abundant number, since it is smaller than the sum of its proper divisors (99808111233).

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

80867434384 is a wasteful number, since it uses less digits than its factorization.

80867434384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 55.

The spelling of 80867434384 in words is "eighty billion, eight hundred sixty-seven million, four hundred thirty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 176 184 242 253 281 368 484 506 529 562 968 1012 1058 1124 1936 2024 2116 2248 2783 3091 4048 4232 4496 5566 5819 6182 6463 8464 11132 11638 12364 12926 22264 23276 24728 25852 34001 44528 46552 49456 51704 64009 68002 71093 78961 93104 103408 128018 136004 142186 148649 157922 256036 272008 284372 297298 315844 512072 544016 568744 594596 631688 782023 868571 1024144 1137488 1189192 1263376 1564046 1635139 1737142 1816103 2378384 3128092 3270278 3474284 3632206 6256184 6540556 6948568 7264412 9554281 12512368 13081112 13897136 14528824 17986529 19108562 19977133 26162224 29057648 35973058 38217124 39954266 41770369 71946116 76434248 79908532 83540738 143892232 152868496 159817064 167081476 219748463 287784464 319634128 334162952 439496926 459474059 668325904 878993852 918948118 1757987704 1837896236 3515975408 3675792472 5054214649 7351584944 10108429298 20216858596 40433717192 80867434384