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27631123140 = 22352320022553
BaseRepresentation
bin11001101110111100…
…010111101011000100
32122022122211111020010
4121232330113223010
5423042031420030
620405450510220
71665503446215
oct315674275304
978278744203
1027631123140
111079a059865
125431735370
1327b468570a
1414a19ab40c
15abab9e6b0
hex66ef17ac4

27631123140 has 48 divisors (see below), whose sum is σ = 80730937728. Its totient is φ = 7047938304.

The previous prime is 27631123133. The next prime is 27631123189. The reversal of 27631123140 is 4132113672.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27631123098 and 27631123107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10009897 + ... + 10012656.

It is an arithmetic number, because the mean of its divisors is an integer number (1681894536).

Almost surely, 227631123140 is an apocalyptic number.

27631123140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27631123140 is an abundant number, since it is smaller than the sum of its proper divisors (53099814588).

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

27631123140 is a wasteful number, since it uses less digits than its factorization.

27631123140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20022588 (or 20022586 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 27631123140 in words is "twenty-seven billion, six hundred thirty-one million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 20022553 40045106 60067659 80090212 100112765 120135318 200225530 240270636 300338295 400451060 460518719 600676590 921037438 1201353180 1381556157 1842074876 2302593595 2763112314 4605187190 5526224628 6907780785 9210374380 13815561570 27631123140