Search a number
-
+
75152561520201 = 31117314321347911
BaseRepresentation
bin10001000101100111010001…
…101110111011111001001001
3100212002111220020011010012220
4101011213101232323321021
534322244421222121301
6423500335442524253
721554410350643314
oct2105472156737111
9325074806133186
1075152561520201
1121a45027833880
1285190a0966689
1332c1b18c39739
14147b590c6597b
158a4d55b25936
hex4459d1bbbe49

75152561520201 has 32 divisors (see below), whose sum is σ = 119476627070976. Its totient is φ = 41484939936000.

The previous prime is 75152561520149. The next prime is 75152561520229. The reversal of 75152561520201 is 10202516525157.

It is not a de Polignac number, because 75152561520201 - 27 = 75152561520073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (75152561520401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2160656565 + ... + 2160691346.

It is an arithmetic number, because the mean of its divisors is an integer number (3733644595968).

Almost surely, 275152561520201 is an apocalyptic number.

It is an amenable number.

75152561520201 is a deficient number, since it is larger than the sum of its proper divisors (44324065550775).

75152561520201 is a wasteful number, since it uses less digits than its factorization.

75152561520201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321347973.

The product of its (nonzero) digits is 210000, while the sum is 42.

The spelling of 75152561520201 in words is "seventy-five trillion, one hundred fifty-two billion, five hundred sixty-one million, five hundred twenty thousand, two hundred one".

Divisors: 1 3 11 17 31 33 51 93 187 341 527 561 1023 1581 5797 17391 4321347911 12964043733 47534827021 73462914487 133961785241 142604481063 220388743461 401885355723 808092059357 1473579637651 2277350349097 2424276178071 4420738912953 6832051047291 25050853840067 75152561520201