Search a number
-
+
90975430746 = 234561576733
BaseRepresentation
bin101010010111010001…
…1101110100001011010
322200211020022201120000
41110232203232201122
52442304202240441
6105443223113430
76400312254654
oct1245643564132
9280736281500
1090975430746
1135645293702
121576b5a2876
13876ac39335
1445906916d4
152576d082b6
hex152e8ee85a

90975430746 has 20 divisors (see below), whose sum is σ = 203852354442. Its totient is φ = 30325143528.

The previous prime is 90975430717. The next prime is 90975430757. The reversal of 90975430746 is 64703457909.

It is a happy number.

90975430746 is a `hidden beast` number, since 9 + 0 + 97 + 543 + 0 + 7 + 4 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90658199025 + 317231721 = 301095^2 + 17811^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 90975430692 and 90975430701.

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 9 ways as a sum of consecutive naturals, for example, 280788205 + ... + 280788528.

Almost surely, 290975430746 is an apocalyptic number.

90975430746 is an abundant number, since it is smaller than the sum of its proper divisors (112876923696).

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

90975430746 is a wasteful number, since it uses less digits than its factorization.

90975430746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561576747 (or 561576738 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 90975430746 in words is "ninety billion, nine hundred seventy-five million, four hundred thirty thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 561576733 1123153466 1684730199 3369460398 5054190597 10108381194 15162571791 30325143582 45487715373 90975430746