Search a number
-
+
90116666640 = 24355711213421
BaseRepresentation
bin101001111101101011…
…1110011010100010000
322121121101101222200000
41103323113303110100
52434024331313030
6105222104530000
76340114012350
oct1237327632420
9277541358600
1090116666640
1135244566500
121556ba80900
13866204cbb0
14450c5cab60
152526724860
hex14fb5f3510

90116666640 has 1440 divisors, whose sum is σ = 425594926848. Its totient is φ = 17244057600.

The previous prime is 90116666617. The next prime is 90116666641. The reversal of 90116666640 is 4666661109.

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

It is not an unprimeable number, because it can be changed into a prime (90116666641) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 214053630 + ... + 214054050.

Almost surely, 290116666640 is an apocalyptic number.

90116666640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90116666640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212797463424).

90116666640 is an abundant number, since it is smaller than the sum of its proper divisors (335478260208).

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

90116666640 is a wasteful number, since it uses less digits than its factorization.

90116666640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 462 counting only the distinct ones).

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

The spelling of 90116666640 in words is "ninety billion, one hundred sixteen million, six hundred sixty-six thousand, six hundred forty".