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3668798052 = 22327113110957
BaseRepresentation
bin1101101010101101…
…0110101001100100
3100110200111020210100
43122223112221210
530003203014202
61404015024100
7156626161143
oct33253265144
910420436710
103668798052
111612a39307
1286480b030
1346611a82a
1426b37b75a
1516715141c
hexdaad6a64

3668798052 has 72 divisors (see below), whose sum is σ = 9477179712. Its totient is φ = 1196395200.

The previous prime is 3668798047. The next prime is 3668798053. The reversal of 3668798052 is 2508978663.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3668798052.

It is not an unprimeable number, because it can be changed into a prime (3668798053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329358 + ... + 340314.

It is an arithmetic number, because the mean of its divisors is an integer number (131627496).

Almost surely, 23668798052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3668798052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738589856).

3668798052 is an abundant number, since it is smaller than the sum of its proper divisors (5808381660).

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

3668798052 is a wasteful number, since it uses less digits than its factorization.

3668798052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11169 (or 11164 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 3668798052 is about 60570.6038602885. The cubic root of 3668798052 is about 1542.3203975229.

The spelling of 3668798052 in words is "three billion, six hundred sixty-eight million, seven hundred ninety-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 131 142 213 262 284 393 426 524 639 786 852 1179 1278 1572 2358 2556 4716 9301 10957 18602 21914 27903 32871 37204 43828 55806 65742 83709 98613 111612 131484 167418 197226 334836 394452 777947 1435367 1555894 2333841 2870734 3111788 4306101 4667682 5741468 7001523 8612202 9335364 12918303 14003046 17224404 25836606 28006092 51673212 101911057 203822114 305733171 407644228 611466342 917199513 1222932684 1834399026 3668798052