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106614105363 = 3419345714923
BaseRepresentation
bin110001101001010110…
…0100010010100010011
3101012012010020201010000
41203102230202110103
53221321202332423
6120551114141043
710462665641343
oct1432254422423
9335163221100
10106614105363
114123a979387
12187b4a21783
13a090ba245c
145235648d23
152b8ec29843
hex18d2b22513

106614105363 has 40 divisors (see below), whose sum is σ = 160449297008. Its totient is φ = 70548350976.

The previous prime is 106614105349. The next prime is 106614105407. The reversal of 106614105363 is 363501416601.

106614105363 is a `hidden beast` number, since 1 + 0 + 6 + 614 + 1 + 0 + 5 + 36 + 3 = 666.

It is not a de Polignac number, because 106614105363 - 24 = 106614105347 is a prime.

It is a super-2 number, since 2×1066141053632 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106614105343) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7136820 + ... + 7151742.

Almost surely, 2106614105363 is an apocalyptic number.

106614105363 is a deficient number, since it is larger than the sum of its proper divisors (53835191645).

106614105363 is a wasteful number, since it uses less digits than its factorization.

106614105363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15585 (or 15576 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 106614105363 in words is "one hundred six billion, six hundred fourteen million, one hundred five thousand, three hundred sixty-three".

Divisors: 1 3 9 27 81 193 457 579 1371 1737 4113 5211 12339 14923 15633 37017 44769 88201 134307 264603 402921 793809 1208763 2381427 2880139 6819811 7144281 8640417 20459433 25921251 61378299 77763753 184134897 233291259 552404691 1316223523 3948670569 11846011707 35538035121 106614105363