Search a number
-
+
85232630466 = 23223823250153
BaseRepresentation
bin100111101100001000…
…0101011101011000010
322011000000020020120100
41033120100223223002
52344024023133331
6103053315023230
76105100256004
oct1173020535302
9264000206510
1085232630466
1133168663875
121462829ab16
138064234069
1441a7ab4374
15233ca77ae6
hex13d842bac2

85232630466 has 48 divisors (see below), whose sum is σ = 192934774656. Its totient is φ = 27142492608.

The previous prime is 85232630429. The next prime is 85232630507. The reversal of 85232630466 is 66403623258.

It is a happy number.

85232630466 is a `hidden beast` number, since 8 + 5 + 2 + 3 + 2 + 630 + 4 + 6 + 6 = 666.

It is a super-2 number, since 2×852326304662 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 215646 + ... + 465798.

It is an arithmetic number, because the mean of its divisors is an integer number (4019474472).

Almost surely, 285232630466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85232630466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96467387328).

85232630466 is an abundant number, since it is smaller than the sum of its proper divisors (107702144190).

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

85232630466 is a wasteful number, since it uses less digits than its factorization.

85232630466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251007 (or 251004 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 85232630466 in words is "eighty-five billion, two hundred thirty-two million, six hundred thirty thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 823 1646 2469 4938 7407 14814 18929 37858 56787 113574 170361 250153 340722 500306 750459 1500918 2251377 4502754 5753519 11507038 17260557 34521114 51781671 103563342 205875919 411751838 617627757 1235255514 1852883271 3705766542 4735146137 9470292274 14205438411 28410876822 42616315233 85232630466