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106336002808 = 23779197122011
BaseRepresentation
bin110001100001000011…
…1101010001011111000
3101011110201221122010101
41203002013222023320
53220234004042213
6120503341325144
710453051052620
oct1430207521370
9334421848111
10106336002808
11411079a0862
12187378667b4
13a0483a0629
14520a735880
152b755e3bdd
hex18c21ea2f8

106336002808 has 64 divisors (see below), whose sum is σ = 231920409600. Its totient is φ = 44766933120.

The previous prime is 106336002781. The next prime is 106336002853. The reversal of 106336002808 is 808200633601.

It is a super-2 number, since 2×1063360028082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810523 + ... + 932533.

It is an arithmetic number, because the mean of its divisors is an integer number (3623756400).

Almost surely, 2106336002808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106336002808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115960204800).

106336002808 is an abundant number, since it is smaller than the sum of its proper divisors (125584406792).

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

106336002808 is a wasteful number, since it uses less digits than its factorization.

106336002808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122300 (or 122296 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 106336002808 in words is "one hundred six billion, three hundred thirty-six million, two thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 28 56 79 158 197 316 394 553 632 788 1106 1379 1576 2212 2758 4424 5516 11032 15563 31126 62252 108941 122011 124504 217882 244022 435764 488044 854077 871528 976088 1708154 3416308 6832616 9638869 19277738 24036167 38555476 48072334 67472083 77110952 96144668 134944166 168253169 192289336 269888332 336506338 539776664 673012676 1346025352 1898857193 3797714386 7595428772 13292000351 15190857544 26584000702 53168001404 106336002808