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106144130646 = 236233165269
BaseRepresentation
bin110001011011010101…
…1101110011001010110
3101010222100220112000000
41202312223232121112
53214340344140041
6120432325032130
710445231136561
oct1426653563126
9333870815000
10106144130646
114101965a424
12186a3555646
13a0177009c8
1451cd06b4d8
152b63842bb6
hex18b6aee656

106144130646 has 56 divisors (see below), whose sum is σ = 249094087920. Its totient is φ = 33843045456.

The previous prime is 106144130639. The next prime is 106144130671. The reversal of 106144130646 is 646031441601.

106144130646 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 4 + 4 + 1 + 3 + 0 + 646 = 666.

It is a super-2 number, since 2×1061441306462 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106144130646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1549101 + ... + 1616168.

Almost surely, 2106144130646 is an apocalyptic number.

106144130646 is an abundant number, since it is smaller than the sum of its proper divisors (142949957274).

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

106144130646 is an equidigital number, since it uses as much as digits as its factorization.

106144130646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165312 (or 3165297 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 106144130646 in words is "one hundred six billion, one hundred forty-four million, one hundred thirty thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 729 1242 1458 1863 3726 5589 11178 16767 33534 3165269 6330538 9495807 18991614 28487421 56974842 72801187 85462263 145602374 170924526 218403561 256386789 436807122 512773578 655210683 769160367 1310421366 1538320734 1965632049 2307481101 3931264098 4614962202 5896896147 11793792294 17690688441 35381376882 53072065323 106144130646