Search a number
-
+
106206167670 = 235113214114633
BaseRepresentation
bin110001011101001100…
…0011000001001110110
3101011010200122022210120
41202322120120021312
53220002234331140
6120442422432410
710446613346541
oct1427230301166
9334120568716
10106206167670
1141050681799
1218700292706
13a027511bc5
1451d73b9858
152b68ee91d0
hex18ba618276

106206167670 has 64 divisors (see below), whose sum is σ = 257288197824. Its totient is φ = 28055982080.

The previous prime is 106206167633. The next prime is 106206167677. The reversal of 106206167670 is 76761602601.

It is a super-2 number, since 2×1062061676702 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106206167677) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7250674 + ... + 7265306.

It is an arithmetic number, because the mean of its divisors is an integer number (4020128091).

Almost surely, 2106206167670 is an apocalyptic number.

106206167670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106206167670 is an abundant number, since it is smaller than the sum of its proper divisors (151082030154).

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

106206167670 is a wasteful number, since it uses less digits than its factorization.

106206167670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16897.

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 106206167670 in words is "one hundred six billion, two hundred six million, one hundred sixty-seven thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 113 226 339 565 678 1130 1695 2141 3390 4282 6423 10705 12846 14633 21410 29266 32115 43899 64230 73165 87798 146330 219495 241933 438990 483866 725799 1209665 1451598 1653529 2419330 3307058 3628995 4960587 7257990 8267645 9921174 16535290 24802935 31329253 49605870 62658506 93987759 156646265 187975518 313292530 469938795 939877590 3540205589 7080411178 10620616767 17701027945 21241233534 35402055890 53103083835 106206167670