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27684665001 = 3372363110093
BaseRepresentation
bin11001110010001000…
…100111011010101001
32122110101120200212000
4121302020213122221
5423144233240001
620415042241213
72000023525020
oct316210473251
978411520760
1027684665001
11108172a9634
125447656209
1327c27b0ca6
1414a8b478b7
15ac0728a86
hex6722276a9

27684665001 has 64 divisors (see below), whose sum is σ = 48993853440. Its totient is φ = 15106512960.

The previous prime is 27684664999. The next prime is 27684665011. The reversal of 27684665001 is 10056648672.

27684665001 is a `hidden beast` number, since 2 + 7 + 6 + 84 + 66 + 500 + 1 = 666.

It is not a de Polignac number, because 27684665001 - 21 = 27684664999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27684665011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2737911 + ... + 2748003.

It is an arithmetic number, because the mean of its divisors is an integer number (765528960).

Almost surely, 227684665001 is an apocalyptic number.

27684665001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27684665001 is a deficient number, since it is larger than the sum of its proper divisors (21309188439).

27684665001 is a wasteful number, since it uses less digits than its factorization.

27684665001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10763 (or 10757 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 27684665001 in words is "twenty-seven billion, six hundred eighty-four million, six hundred sixty-five thousand, one".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 631 1449 1893 4347 4417 5679 10093 13251 14513 17037 30279 39753 43539 70651 90837 101591 119259 130617 211953 232139 272511 304773 391851 635859 696417 914319 1624973 1907577 2089251 2742957 4874919 6267753 6368683 14624757 19106049 43874271 44580781 57318147 133742343 146479709 171954441 401227029 439439127 1025357963 1203681087 1318317381 3076073889 3954952143 9228221667 27684665001