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106454070529 = 83239312
BaseRepresentation
bin110001100100100101…
…0000011010100000001
3101011202222010002120221
41203021022003110001
53221004220224104
6120523200103041
710456013445442
oct1431112032401
9334688102527
10106454070529
1141168602894
121876b304a81
13a06699bba1
14521c2ab2c9
152b80b66c54
hex18c9283501

106454070529 has 9 divisors (see below), whose sum is σ = 107779520289. Its totient is φ = 105144736980.

The previous prime is 106454070487. The next prime is 106454070539. The reversal of 106454070529 is 925070454601.

The square root of 106454070529 is 326273.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 106454070529 - 29 = 106454070017 is a prime.

It is a super-2 number, since 2×1064540705292 (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 (106454070539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27078694 + ... + 27082624.

Almost surely, 2106454070529 is an apocalyptic number.

106454070529 is the 326273-rd square number.

106454070529 is the 163137-th centered octagonal number.

It is an amenable number.

106454070529 is a deficient number, since it is larger than the sum of its proper divisors (1325449760).

106454070529 is an frugal number, since it uses more digits than its factorization.

106454070529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8028 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 106454070529 in words is "one hundred six billion, four hundred fifty-four million, seventy thousand, five hundred twenty-nine".

Divisors: 1 83 3931 6889 326273 15452761 27080659 1282579163 106454070529