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106427447522 = 21126723132
BaseRepresentation
bin110001100011110010…
…0011111100011100010
3101011201010000111200122
41203013210133203202
53220430411310042
6120520405320242
710455241243364
oct1430744374342
9334633014618
10106427447522
1141154579600
1218762406082
13a06130a026
14521893ad34
152b7d6587d2
hex18c791f8e2

106427447522 has 54 divisors (see below), whose sum is σ = 178702376769. Its totient is φ = 47501831520.

The previous prime is 106427447471. The next prime is 106427447527. The reversal of 106427447522 is 225744724601.

It can be written as a sum of positive squares in 2 ways, for example, as 61687160161 + 44740287361 = 248369^2 + 211519^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=230681.

It is a super-2 number, since 2×1064274475222 (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 (106427447527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 340023638 + ... + 340023950.

Almost surely, 2106427447522 is an apocalyptic number.

106427447522 is a deficient number, since it is larger than the sum of its proper divisors (72274929247).

106427447522 is an frugal number, since it uses more digits than its factorization.

106427447522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 44.

The spelling of 106427447522 in words is "one hundred six billion, four hundred twenty-seven million, four hundred forty-seven thousand, five hundred twenty-two".

Divisors: 1 2 11 22 67 121 134 242 313 626 737 1474 3443 4489 6886 8107 8978 16214 20971 37873 41942 49379 75746 97969 98758 195938 230681 461362 543169 1077659 1086338 1405057 2155318 2537491 2810114 5074982 6563923 11854249 13127846 15455627 23708498 30911254 72203153 144406306 170011897 340023794 439782841 794234683 879565682 1588469366 4837611251 9675222502 53213723761 106427447522