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27166054144 = 284773157197
BaseRepresentation
bin11001010011001110…
…010001011100000000
32121010020201112111111
4121103032101130000
5421114002213034
620251354453104
71651125436015
oct312316213400
977106645444
1027166054144
1110580590619
125321a34194
13273c210b68
141459d0970c
15a8ee36364
hex653391700

27166054144 has 144 divisors (see below), whose sum is σ = 56782712448. Its totient is φ = 12962267136.

The previous prime is 27166054121. The next prime is 27166054159. The reversal of 27166054144 is 44145066172.

It is a junction number, because it is equal to n+sod(n) for n = 27166054097 and 27166054106.

It is a congruent number.

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, 137898654 + ... + 137898850.

It is an arithmetic number, because the mean of its divisors is an integer number (394324392).

Almost surely, 227166054144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27166054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28391356224).

27166054144 is an abundant number, since it is smaller than the sum of its proper divisors (29616658304).

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

27166054144 is a wasteful number, since it uses less digits than its factorization.

27166054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 27166054144 in words is "twenty-seven billion, one hundred sixty-six million, fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 47 64 73 94 128 146 157 188 197 256 292 314 376 394 584 628 752 788 1168 1256 1504 1576 2336 2512 3008 3152 3431 4672 5024 6016 6304 6862 7379 9259 9344 10048 11461 12032 12608 13724 14381 14758 18518 18688 20096 22922 25216 27448 28762 29516 30929 37036 40192 45844 50432 54896 57524 59032 61858 74072 91688 109792 115048 118064 123716 148144 183376 219584 230096 236128 247432 296288 366752 439168 460192 472256 494864 538667 592576 675907 733504 878336 920384 944512 989728 1077334 1185152 1351814 1453663 1467008 1840768 1889024 1979456 2154668 2257817 2370304 2703628 2907326 2934016 3681536 3958912 4309336 4515634 5407256 5814652 7917824 8618672 9031268 10814512 11629304 17237344 18062536 21629024 23258608 34474688 36125072 43258048 46517216 68949376 72250144 86516096 93034432 106117399 137898752 144500288 173032192 186068864 212234798 289000576 372137728 424469596 578001152 848939192 1697878384 3395756768 6791513536 13583027072 27166054144