Search a number
-
+
851314606413158 = 219313355920111023
BaseRepresentation
bin1100000110010001000010000…
…0101101010001010101100110
311010122020212210122120121200202
43001210100200231101111212
51343040414303220210113
612214332310421110502
7344213310363415436
oct30144204055212546
94118225718517622
10851314606413158
112272895516599a8
127b592583258432
132a703813727714
1411031bbd8942c6
1568649a72ad258
hex3064420b51566

851314606413158 has 32 divisors (see below), whose sum is σ = 1348854424089600. Its totient is φ = 401852971406016.

The previous prime is 851314606413143. The next prime is 851314606413199.

851314606413158 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8513146064131582 (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 32275235 + ... + 52386257.

It is an arithmetic number, because the mean of its divisors is an integer number (42151700752800).

Almost surely, 2851314606413158 is an apocalyptic number.

851314606413158 is a deficient number, since it is larger than the sum of its proper divisors (497539817676442).

851314606413158 is a wasteful number, since it uses less digits than its factorization.

851314606413158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20114916.

The product of its (nonzero) digits is 8294400, while the sum is 56.

The spelling of 851314606413158 in words is "eight hundred fifty-one trillion, three hundred fourteen billion, six hundred six million, four hundred thirteen thousand, one hundred fifty-eight".

Divisors: 1 2 19 38 313 626 3559 5947 7118 11894 67621 135242 1113967 2227934 20111023 21165373 40222046 42330746 382109437 764218874 6294750199 12589500398 71575130857 119600253781 143150261714 239200507562 1359927486283 2719854972566 22403015958241 44806031916482 425657303206579 851314606413158