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4635225364 = 22721110320873
BaseRepresentation
bin1000101000100011…
…11110110100010100
3102222000222211211111
410110101332310110
533443104202424
62043540544404
7222602523400
oct42421766424
912860884744
104635225364
111a69511470
12a943b2104
1358b401803
1431d86a100
151c1e00194
hex11447ed14

4635225364 has 72 divisors (see below), whose sum is σ = 10394250048. Its totient is φ = 1788312960.

The previous prime is 4635225359. The next prime is 4635225373.

4635225364 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211632 + ... + 232504.

It is an arithmetic number, because the mean of its divisors is an integer number (144364584).

Almost surely, 24635225364 is an apocalyptic number.

4635225364 is a gapful number since it is divisible by the number (44) 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 4635225364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197125024).

4635225364 is an abundant number, since it is smaller than the sum of its proper divisors (5759024684).

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

4635225364 is a wasteful number, since it uses less digits than its factorization.

4635225364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21005 (or 20996 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

The square root of 4635225364 is about 68082.4894080703. The cubic root of 4635225364 is about 1667.3378844348.

The spelling of 4635225364 in words is "four billion, six hundred thirty-five million, two hundred twenty-five thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 103 154 196 206 308 412 539 721 1078 1133 1442 2156 2266 2884 4532 5047 7931 10094 15862 20188 20873 31724 41746 55517 83492 111034 146111 222068 229603 292222 459206 584444 918412 1022777 1607221 2045554 2149919 3214442 4091108 4299838 6428884 8599676 11250547 15049433 22501094 23649109 30098866 45002188 47298218 60197732 94596436 105346031 165543763 210692062 331087526 421384124 662175052 1158806341 2317612682 4635225364