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27318440448 = 293213456037
BaseRepresentation
bin11001011100010011…
…100101001000000000
32121111212110120012200
4121130103211020000
5421422010043243
620314440553200
71654655624655
oct313423451000
977455416180
1027318440448
1110649602712
125364a82800
132764966c80
141472255c2c
15a9d4d7ad3
hex65c4e5200

27318440448 has 120 divisors (see below), whose sum is σ = 84907891068. Its totient is φ = 8405655552.

The previous prime is 27318440353. The next prime is 27318440489. The reversal of 27318440448 is 84404481372.

27318440448 is a `hidden beast` number, since 27 + 3 + 184 + 4 + 0 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19097028864 + 8221411584 = 138192^2 + 90672^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168115 + ... + 287922.

Almost surely, 227318440448 is an apocalyptic number.

It is an amenable number.

27318440448 is an abundant number, since it is smaller than the sum of its proper divisors (57589450620).

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

27318440448 is a wasteful number, since it uses less digits than its factorization.

27318440448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456074 (or 456055 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 27318440448 in words is "twenty-seven billion, three hundred eighteen million, four hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 59904 456037 912074 1368111 1824148 2736222 3648296 4104333 5472444 5928481 7296592 8208666 10944888 11856962 14593184 16417332 17785443 21889776 23713924 29186368 32834664 35570886 43779552 47427848 53356329 58372736 65669328 71141772 87559104 94855696 106712658 116745472 131338656 142283544 175118208 189711392 213425316 233490944 262677312 284567088 350236416 379422784 426850632 525354624 569134176 700472832 758845568 853701264 1050709248 1138268352 1517691136 1707402528 2101418496 2276536704 3035382272 3414805056 4553073408 6829610112 9106146816 13659220224 27318440448