Search a number
-
+
32943968100 = 223252291262221
BaseRepresentation
bin11110101011100111…
…010000111101100100
310011000220212222101200
4132223213100331210
51014432123434400
623044555322500
72244245052141
oct365347207544
9104026788350
1032943968100
1112a7601391a
126474a50430
13315028b864
1418474273c8
15ccc300b00
hex7ab9d0f64

32943968100 has 108 divisors (see below), whose sum is σ = 106821847860. Its totient is φ = 8482118400.

The previous prime is 32943968087. The next prime is 32943968137. The reversal of 32943968100 is 186934923.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1154504484 + 31789463616 = 33978^2 + 178296^2 .

It is a super-2 number, since 2×329439681002 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 605011 + ... + 657210.

Almost surely, 232943968100 is an apocalyptic number.

32943968100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32943968100 is an abundant number, since it is smaller than the sum of its proper divisors (73877879760).

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

32943968100 is a wasteful number, since it uses less digits than its factorization.

32943968100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262270 (or 1262260 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 32943968100 in words is "thirty-two billion, nine hundred forty-three million, nine hundred sixty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 2175 2610 2900 4350 5220 6525 8700 13050 26100 1262221 2524442 3786663 5048884 6311105 7573326 11359989 12622210 15146652 18933315 22719978 25244420 31555525 36604409 37866630 45439956 56799945 63111050 73208818 75733260 94666575 109813227 113599890 126222100 146417636 183022045 189333150 219626454 227199780 283999725 329439681 366044090 378666300 439252908 549066135 567999450 658879362 732088180 915110225 1098132270 1135998900 1317758724 1647198405 1830220450 2196264540 2745330675 3294396810 3660440900 5490661350 6588793620 8235992025 10981322700 16471984050 32943968100