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68225754150 = 232521091678329
BaseRepresentation
bin111111100010100100…
…100110010000100110
320112002202210102010100
4333202210212100212
52104211243113100
651201550404530
74633461225141
oct774244462046
9215082712110
1068225754150
1126a30728994
1211280800746
1365839a3b38
143433125058
151b94993400
hexfe2926426

68225754150 has 144 divisors (see below), whose sum is σ = 186111525600. Its totient is φ = 17916526080.

The previous prime is 68225754143. The next prime is 68225754209. The reversal of 68225754150 is 5145752286.

68225754150 is a `hidden beast` number, since 6 + 8 + 2 + 2 + 57 + 541 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 68225754096 and 68225754105.

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 71 ways as a sum of consecutive naturals, for example, 8187186 + ... + 8195514.

It is an arithmetic number, because the mean of its divisors is an integer number (1292441150).

Almost surely, 268225754150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68225754150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93055762800).

68225754150 is an abundant number, since it is smaller than the sum of its proper divisors (117885771450).

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

68225754150 is a wasteful number, since it uses less digits than its factorization.

68225754150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8623 (or 8615 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 68225754150 in words is "sixty-eight billion, two hundred twenty-five million, seven hundred fifty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 109 150 167 218 225 327 334 450 501 545 654 835 981 1002 1090 1503 1635 1670 1962 2505 2725 3006 3270 4175 4905 5010 5450 7515 8175 8329 8350 9810 12525 15030 16350 16658 18203 24525 24987 25050 36406 37575 41645 49050 49974 54609 74961 75150 83290 91015 109218 124935 149922 163827 182030 208225 249870 273045 327654 374805 416450 455075 546090 624675 749610 819135 907861 910150 1249350 1365225 1390943 1638270 1815722 1874025 2723583 2730450 2781886 3748050 4095675 4172829 4539305 5447166 6954715 8170749 8191350 8345658 9078610 12518487 13617915 13909430 16341498 20864145 22696525 25036974 27235830 34773575 40853745 41728290 45393050 62592435 68089575 69547150 81707490 104320725 125184870 136179150 151612787 204268725 208641450 303225574 312962175 408537450 454838361 625924350 758063935 909676722 1364515083 1516127870 2274191805 2729030166 3790319675 4548383610 6822575415 7580639350 11370959025 13645150830 22741918050 34112877075 68225754150