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1106474226327 = 33727392914347
BaseRepresentation
bin10000000110011111000…
…000001101001010010111
310220210000002110112122000
4100012133000031022113
5121112024400220302
62204150210410343
7142640314512651
oct20063700151227
93823002415560
101106474226327
11397286945068
1215a537b909b3
13804561a3a22
143b7a727d6d1
151dbae06031c
hex1019f00d297

1106474226327 has 32 divisors (see below), whose sum is σ = 1642008076800. Its totient is φ = 736396017984.

The previous prime is 1106474226289. The next prime is 1106474226337. The reversal of 1106474226327 is 7236224746011.

1106474226327 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 4 + 7 + 4 + 2 + 2 + 632 + 7 = 666.

It is not a de Polignac number, because 1106474226327 - 210 = 1106474225303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106474226337) 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 31 ways as a sum of consecutive naturals, for example, 77115168 + ... + 77129514.

It is an arithmetic number, because the mean of its divisors is an integer number (51312752400).

Almost surely, 21106474226327 is an apocalyptic number.

1106474226327 is a deficient number, since it is larger than the sum of its proper divisors (535533850473).

1106474226327 is a wasteful number, since it uses less digits than its factorization.

1106474226327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19012 (or 19006 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 1106474226327 in words is "one trillion, one hundred six billion, four hundred seventy-four million, two hundred twenty-six thousand, three hundred twenty-seven".

Divisors: 1 3 9 27 727 2181 3929 6543 11787 14347 19629 35361 43041 106083 129123 387369 2856383 8569149 10430269 25707447 31290807 56369363 77122341 93872421 169108089 281617263 507324267 1521972801 40980526901 122941580703 368824742109 1106474226327