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106369011579 = 3292335247349
BaseRepresentation
bin110001100010000010…
…1100100111101111011
3101011120001001122122110
41203010011210331323
53220320431332304
6120510521023403
710453631452245
oct1430405447573
9334501048573
10106369011579
1141124596836
1218746924b63
13a052189c4c
145210c89095
152b78464289
hex18c4164f7b

106369011579 has 16 divisors (see below), whose sum is σ = 147345588000. Its totient is φ = 68173545216.

The previous prime is 106369011569. The next prime is 106369011583. The reversal of 106369011579 is 975110963601.

It is a happy number.

It is not a de Polignac number, because 106369011579 - 212 = 106369007483 is a prime.

It is a super-2 number, since 2×1063690115792 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106369011569) 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 15 ways as a sum of consecutive naturals, for example, 2603404 + ... + 2643945.

It is an arithmetic number, because the mean of its divisors is an integer number (9209099250).

Almost surely, 2106369011579 is an apocalyptic number.

106369011579 is a deficient number, since it is larger than the sum of its proper divisors (40976576421).

106369011579 is a wasteful number, since it uses less digits than its factorization.

106369011579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247614.

The product of its (nonzero) digits is 306180, while the sum is 48.

The spelling of 106369011579 in words is "one hundred six billion, three hundred sixty-nine million, eleven thousand, five hundred seventy-nine".

Divisors: 1 3 29 87 233 699 6757 20271 5247349 15742047 152173121 456519363 1222632317 3667896951 35456337193 106369011579