Search a number
-
+
197422851648 = 26311174753507
BaseRepresentation
bin1011011111011101010…
…0011010011001000000
3200212120201220222120110
42313313110122121000
511213310222223043
6230410024511320
720156215356651
oct2676724323100
9625521828513
10197422851648
11767aa064530
123231861b540
131580341a619
1497abb0b528
1552070a9b33
hex2df751a640

197422851648 has 112 divisors (see below), whose sum is σ = 570170974464. Its totient is φ = 59789744640.

The previous prime is 197422851643. The next prime is 197422851671. The reversal of 197422851648 is 846158224791.

197422851648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (197422851641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3662911 + ... + 3716417.

It is an arithmetic number, because the mean of its divisors is an integer number (5090812272).

Almost surely, 2197422851648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197422851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285085487232).

197422851648 is an abundant number, since it is smaller than the sum of its proper divisors (372748122816).

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

197422851648 is a wasteful number, since it uses less digits than its factorization.

197422851648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55280 (or 55270 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 57.

The spelling of 197422851648 in words is "one hundred ninety-seven billion, four hundred twenty-two million, eight hundred fifty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1747 2112 3494 5241 6988 10482 13976 19217 20964 27952 38434 41928 53507 55904 57651 76868 83856 107014 111808 115302 153736 160521 167712 214028 230604 307472 321042 335424 428056 461208 588577 614944 642084 856112 922416 1177154 1229888 1284168 1712224 1765731 1844832 2354308 2568336 3424448 3531462 3689664 4708616 5136672 7062924 9417232 10273344 14125848 18834464 28251696 37668928 56503392 93476729 113006784 186953458 280430187 373906916 560860374 747813832 1028244019 1121720748 1495627664 2056488038 2243441496 2991255328 3084732057 4112976076 4486882992 5982510656 6169464114 8225952152 8973765984 12338928228 16451904304 17947531968 24677856456 32903808608 49355712912 65807617216 98711425824 197422851648