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20667273984 = 28337427151
BaseRepresentation
bin10011001111110111…
…011001001100000000
31222100100010022002000
4103033313121030000
5314311310231414
613254443224000
71331103634050
oct231767311400
958310108060
1020667273984
118846156925
124009518000
131c449c9306
141000b81560
1580e626b09
hex4cfdd9300

20667273984 has 144 divisors (see below), whose sum is σ = 69847895040. Its totient is φ = 5904921600.

The previous prime is 20667273947. The next prime is 20667274027. The reversal of 20667273984 is 48937276602.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20667273984.

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 15 ways as a sum of consecutive naturals, for example, 165192 + ... + 261959.

Almost surely, 220667273984 is an apocalyptic number.

20667273984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20667273984 is an abundant number, since it is smaller than the sum of its proper divisors (49180621056).

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

20667273984 is an equidigital number, since it uses as much as digits as its factorization.

20667273984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427183 (or 427163 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 20667273984 in words is "twenty billion, six hundred sixty-seven million, two hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 427151 854302 1281453 1708604 2562906 2990057 3417208 3844359 5125812 5980114 6834416 7688718 8970171 10251624 11533077 11960228 13668832 15377436 17940342 20503248 23066154 23920456 26910513 27337664 30754872 35880684 41006496 46132308 47840912 53821026 54675328 61509744 71761368 80731539 82012992 92264616 95681824 107642052 109350656 123019488 143522736 161463078 164025984 184529232 191363648 215284104 246038976 287045472 322926156 328051968 369058464 382727296 430568208 492077952 574090944 645852312 738116928 765454592 861136416 984155904 1148181888 1291704624 1476233856 1722272832 2296363776 2583409248 2952467712 3444545664 5166818496 6889091328 10333636992 20667273984