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106658253522 = 23828512
BaseRepresentation
bin110001101010101010…
…0111100101011010010
3101012022012022200000000
41203111110330223102
53221414003103042
6120555332310430
710464043124232
oct1432524745322
9335265280000
10106658253522
1141262892567
1218807772416
13a09a08c122
14523b45bcc2
152b93a4a74c
hex18d553cad2

106658253522 has 54 divisors (see below), whose sum is σ = 240053077719. Its totient is φ = 35540280900.

The previous prime is 106658253469. The next prime is 106658253523. The reversal of 106658253522 is 225352856601.

106658253522 is a `hidden beast` number, since 1 + 0 + 66 + 58 + 2 + 535 + 2 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53329126761 + 53329126761 = 230931^2 + 230931^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=230931.

It is a super-2 number, since 2×1066582535222 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106658253523) 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, 37409397 + ... + 37412247.

Almost surely, 2106658253522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106658253522

106658253522 is an abundant number, since it is smaller than the sum of its proper divisors (133394824197).

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

106658253522 is an frugal number, since it uses more digits than its factorization.

106658253522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 106658253522 in words is "one hundred six billion, six hundred fifty-eight million, two hundred fifty-three thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 2851 4374 5702 6561 8553 13122 17106 25659 51318 76977 153954 230931 461862 692793 1385586 2078379 4156758 6235137 8128201 12470274 16256402 18705411 24384603 37410822 48769206 73153809 146307618 219461427 438922854 658384281 1316768562 1975152843 3950305686 5925458529 11850917058 17776375587 35552751174 53329126761 106658253522