Search a number
-
+
3101664636 = 2237750651
BaseRepresentation
bin1011100011011111…
…1010010101111100
322000011022220000000
42320313322111330
522323011232021
61231435234300
7136601500020
oct27067722574
98004286000
103101664636
111351899604
127268a8990
133a578b925
14215d0c380
15132476b26
hexb8dfa57c

3101664636 has 96 divisors (see below), whose sum is σ = 9303759360. Its totient is φ = 886172400.

The previous prime is 3101664619. The next prime is 3101664641. The reversal of 3101664636 is 6364661013.

3101664636 is a `hidden beast` number, since 3 + 1 + 0 + 1 + 6 + 646 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3101664636.

It is a congruent number.

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, 35911 + ... + 86561.

It is an arithmetic number, because the mean of its divisors is an integer number (96914160).

Almost surely, 23101664636 is an apocalyptic number.

3101664636 is a gapful number since it is divisible by the number (36) 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 3101664636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651879680).

3101664636 is an abundant number, since it is smaller than the sum of its proper divisors (6202094724).

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

3101664636 is an equidigital number, since it uses as much as digits as its factorization.

3101664636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50683 (or 50663 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3101664636 is about 55692.5904946071. The cubic root of 3101664636 is about 1458.3606789437.

The spelling of 3101664636 in words is "three billion, one hundred one million, six hundred sixty-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2187 2268 2916 3402 4374 5103 6804 8748 10206 15309 20412 30618 50651 61236 101302 151953 202604 303906 354557 455859 607812 709114 911718 1063671 1367577 1418228 1823436 2127342 2735154 3191013 4102731 4254684 5470308 6382026 8205462 9573039 12308193 12764052 16410924 19146078 24616386 28719117 36924579 38292156 49232772 57438234 73849158 86157351 110773737 114876468 147698316 172314702 221547474 258472053 344629404 443094948 516944106 775416159 1033888212 1550832318 3101664636