Search a number
-
+
106689363288 = 23341931873329
BaseRepresentation
bin110001101011100101…
…1100111110101011000
3101012101100212012120120
41203113023213311120
53221444434111123
6121002403153240
710464601424244
oct1432713476530
9335340765516
10106689363288
1141279400812
1218816075820
13a0a3662281
145241639424
152b966432e3
hex18d72e7d58

106689363288 has 64 divisors (see below), whose sum is σ = 267524208000. Its totient is φ = 35456458752.

The previous prime is 106689363281. The next prime is 106689363289. The reversal of 106689363288 is 882363986601.

It is a happy number.

It is a super-2 number, since 2×1066893632882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106689363281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32046808 + ... + 32050136.

It is an arithmetic number, because the mean of its divisors is an integer number (4180065750).

Almost surely, 2106689363288 is an apocalyptic number.

It is an amenable number.

106689363288 is an abundant number, since it is smaller than the sum of its proper divisors (160834844712).

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

106689363288 is a wasteful number, since it uses less digits than its factorization.

106689363288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944 (or 6940 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 106689363288 in words is "one hundred six billion, six hundred eighty-nine million, three hundred sixty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 419 838 1257 1676 2514 3187 3329 3352 5028 6374 6658 9561 9987 10056 12748 13316 19122 19974 25496 26632 38244 39948 76488 79896 1335353 1394851 2670706 2789702 4006059 4184553 5341412 5579404 8012118 8369106 10609523 10682824 11158808 16024236 16738212 21219046 31828569 32048472 33476424 42438092 63657138 84876184 127314276 254628552 4445390137 8890780274 13336170411 17781560548 26672340822 35563121096 53344681644 106689363288