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6850000105 = 513253152953
BaseRepresentation
bin1100110000100101…
…01011010011101001
3122200101111001121121
412120102223103221
5103012100000410
63051415135241
7331515016534
oct63022532351
918611431547
106850000105
1129a5712513
1213b2074521
13852207100
1448da71a1b
152a15899da
hex1984ab4e9

6850000105 has 24 divisors (see below), whose sum is σ = 9068948568. Its totient is φ = 4962986496.

The previous prime is 6850000057. The next prime is 6850000127. The reversal of 6850000105 is 5010000586.

6850000105 = 585232 + 585242.

It can be written as a sum of positive squares in 12 ways, for example, as 4356396009 + 2493604096 = 66003^2 + 49936^2 .

It is not a de Polignac number, because 6850000105 - 27 = 6849999977 is a prime.

It is a super-2 number, since 2×68500001052 = 93845002877000022050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6850000105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31692 + ... + 121261.

It is an arithmetic number, because the mean of its divisors is an integer number (377872857).

Almost surely, 26850000105 is an apocalyptic number.

6850000105 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6850000105 is the 58524-th centered square number.

It is an amenable number.

6850000105 is a deficient number, since it is larger than the sum of its proper divisors (2218948463).

6850000105 is a wasteful number, since it uses less digits than its factorization.

6850000105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153037 (or 153024 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 6850000105 is about 82764.7274205624. The cubic root of 6850000105 is about 1899.1686210329.

The spelling of 6850000105 in words is "six billion, eight hundred fifty million, one hundred five", and thus it is an aban number.

Divisors: 1 5 13 53 65 169 265 689 845 3445 8957 44785 152953 764765 1988389 8106509 9941945 25849057 40532545 105384617 129245285 526923085 1370000021 6850000105