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80681664 = 2637173347
BaseRepresentation
bin1001100111100…
…01101011000000
312121211001102210
410303301223000
5131123303124
612001142120
71666532340
oct463615300
9177731383
1080681664
11415a7368
122302a940
131393b73b
14aa02d20
15713aa29
hex4cf1ac0

80681664 has 112 divisors (see below), whose sum is σ = 246083328. Its totient is φ = 22852608.

The previous prime is 80681663. The next prime is 80681669. The reversal of 80681664 is 46618608.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (80681663) 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, 232339 + ... + 232685.

Almost surely, 280681664 is an apocalyptic number.

80681664 is a gapful number since it is divisible by the number (84) 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 80681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123041664).

80681664 is an abundant number, since it is smaller than the sum of its proper divisors (165401664).

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

80681664 is a wasteful number, since it uses less digits than its factorization.

80681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 80681664 is about 8982.2972562702. The cubic root of 80681664 is about 432.1073121609.

The spelling of 80681664 in words is "eighty million, six hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 173 192 224 336 346 347 448 519 672 692 694 1038 1041 1211 1344 1384 1388 2076 2082 2422 2429 2768 2776 3633 4152 4164 4844 4858 5536 5552 7266 7287 8304 8328 9688 9716 11072 11104 14532 14574 16608 16656 19376 19432 22208 29064 29148 33216 33312 38752 38864 58128 58296 60031 66624 77504 77728 116256 116592 120062 155456 180093 232512 233184 240124 360186 420217 466368 480248 720372 840434 960496 1260651 1440744 1680868 1920992 2521302 2881488 3361736 3841984 5042604 5762976 6723472 10085208 11525952 13446944 20170416 26893888 40340832 80681664