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4663106112 = 263723251601
BaseRepresentation
bin1000101011111000…
…10101101001000000
3110000222110100000210
410111330111221000
534022223343422
62050414314120
7223361514360
oct42574255100
913028410023
104663106112
111a83224705
12aa17b8940
13594113cb2
143234469a0
151c45ab10c
hex115f15a40

4663106112 has 224 divisors, whose sum is σ = 14796601344. Its totient is φ = 1267200000.

The previous prime is 4663106093. The next prime is 4663106153. The reversal of 4663106112 is 2116013664.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×46631061122 = 43489117223543513088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4663106112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7758612 + ... + 7759212.

It is an arithmetic number, because the mean of its divisors is an integer number (66056256).

Almost surely, 24663106112 is an apocalyptic number.

4663106112 is a gapful number since it is divisible by the number (42) 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 4663106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7398300672).

4663106112 is an abundant number, since it is smaller than the sum of its proper divisors (10133495232).

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

4663106112 is a wasteful number, since it uses less digits than its factorization.

4663106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4663106112 is about 68286.9395419065. The cubic root of 4663106112 is about 1670.6742006306.

Adding to 4663106112 its reverse (2116013664), we get a palindrome (6779119776).

The spelling of 4663106112 in words is "four billion, six hundred sixty-three million, one hundred six thousand, one hundred twelve".