Search a number
-
+
90151662100 = 22526114778961
BaseRepresentation
bin101001111110101110…
…1010011001000010100
322121200211020221102011
41103331131103020110
52434112311141400
6105225354554004
76341020325053
oct1237535231024
9277624227364
1090151662100
1135262299075
121557b738904
138669383876
1445130da39a
1525298388ba
hex14fd753214

90151662100 has 36 divisors (see below), whose sum is σ = 198836154748. Its totient is φ = 35469504000.

The previous prime is 90151662091. The next prime is 90151662113. The reversal of 90151662100 is 126615109.

It can be written as a sum of positive squares in 6 ways, for example, as 1622800656 + 88528861444 = 40284^2 + 297538^2 .

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 11 ways as a sum of consecutive naturals, for example, 7383381 + ... + 7395580.

Almost surely, 290151662100 is an apocalyptic number.

It is an amenable number.

90151662100 is an abundant number, since it is smaller than the sum of its proper divisors (108684492648).

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

90151662100 is a wasteful number, since it uses less digits than its factorization.

90151662100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14779036 (or 14779029 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The spelling of 90151662100 in words is "ninety billion, one hundred fifty-one million, six hundred sixty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 14778961 29557922 59115844 73894805 147789610 295579220 369474025 738948050 901516621 1477896100 1803033242 3606066484 4507583105 9015166210 18030332420 22537915525 45075831050 90151662100