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27680423001 = 3711314498609
BaseRepresentation
bin11001110001111000…
…011011110001011001
32122110002121011220220
4121301320123301121
5423142142014001
620414411310253
71666642466460
oct316170336131
978402534826
1027680423001
1110814971550
12544614b389
1327c195722a
1414a83619d7
15ac018bc36
hex671e1bc59

27680423001 has 64 divisors (see below), whose sum is σ = 47609856000. Its totient is φ = 13882982400.

The previous prime is 27680422967. The next prime is 27680423003. The reversal of 27680423001 is 10032408672.

It is not a de Polignac number, because 27680423001 - 225 = 27646868569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (27680423003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3210985 + ... + 3219593.

It is an arithmetic number, because the mean of its divisors is an integer number (743904000).

Almost surely, 227680423001 is an apocalyptic number.

27680423001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27680423001 is a deficient number, since it is larger than the sum of its proper divisors (19929432999).

27680423001 is a wasteful number, since it uses less digits than its factorization.

27680423001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9110.

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 27680423001 in words is "twenty-seven billion, six hundred eighty million, four hundred twenty-three thousand, one".

Divisors: 1 3 7 11 21 31 33 77 93 217 231 341 449 651 1023 1347 2387 3143 4939 7161 8609 9429 13919 14817 25827 34573 41757 60263 94699 97433 103719 153109 180789 266879 284097 292299 459327 662893 800637 1071763 1868153 1988679 2935669 3215289 3865441 5604459 8807007 11596323 20549683 27058087 42519851 61649049 81174261 119828671 127559553 297638957 359486013 838800697 892916871 1318115381 2516402091 3954346143 9226807667 27680423001