Search a number
-
+
6991386150 = 235273135887
BaseRepresentation
bin1101000001011100…
…00001011000100110
3200001020112012210210
412200232001120212
5103304243324100
63113425400250
7335152542000
oct64056013046
920036465723
106991386150
112a68500991
121431499086
138755ab2a8
144a4757370
152adbb6c50
hex1a0b81626

6991386150 has 96 divisors (see below), whose sum is σ = 20220134400. Its totient is φ = 1598019360.

The previous prime is 6991386137. The next prime is 6991386173. The reversal of 6991386150 is 516831996.

It is a self number, because there is not a number n which added to its sum of digits gives 6991386150.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16494 + ... + 119393.

It is an arithmetic number, because the mean of its divisors is an integer number (210626400).

Almost surely, 26991386150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6991386150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10110067200).

6991386150 is an abundant number, since it is smaller than the sum of its proper divisors (13228748250).

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

6991386150 is a wasteful number, since it uses less digits than its factorization.

6991386150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135923 (or 135904 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 6991386150 is about 83614.5092074336. The cubic root of 6991386150 is about 1912.1462082118.

The spelling of 6991386150 in words is "six billion, nine hundred ninety-one million, three hundred eighty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 343 350 490 525 686 735 1029 1050 1225 1470 1715 2058 2450 3430 3675 5145 7350 8575 10290 17150 25725 51450 135887 271774 407661 679435 815322 951209 1358870 1902418 2038305 2853627 3397175 4076610 4756045 5707254 6658463 6794350 9512090 10191525 13316926 14268135 19975389 20383050 23780225 28536270 33292315 39950778 46609241 47560450 66584630 71340675 93218482 99876945 139827723 142681350 166461575 199753890 233046205 279655446 332923150 466092410 499384725 699138615 998769450 1165231025 1398277230 2330462050 3495693075 6991386150