Search a number
-
+
4623630102 = 2327213231019
BaseRepresentation
bin1000100111001011…
…01111111100010110
3102221020011202010100
410103211233330112
533432122130402
62042444234530
7222402131100
oct42345577426
912836152110
104623630102
111a62a11803
12a9053ba46
13588ba1b00
1431c0cc570
151c0dae71c
hex11396ff16

4623630102 has 108 divisors (see below), whose sum is σ = 12619215180. Its totient is φ = 1219379616.

The previous prime is 4623630079. The next prime is 4623630103. The reversal of 4623630102 is 2010363264.

4623630102 is a `hidden beast` number, since 4 + 6 + 23 + 630 + 1 + 0 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4623630103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 133549 + ... + 164567.

It is an arithmetic number, because the mean of its divisors is an integer number (116844585).

Almost surely, 24623630102 is an apocalyptic number.

4623630102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4623630102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309607590).

4623630102 is an abundant number, since it is smaller than the sum of its proper divisors (7995585078).

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

4623630102 is a wasteful number, since it uses less digits than its factorization.

4623630102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31067 (or 31044 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4623630102 is about 67997.2801073690. The cubic root of 4623630102 is about 1665.9464121360.

Adding to 4623630102 its reverse (2010363264), we get a palindrome (6633993366).

The spelling of 4623630102 in words is "four billion, six hundred twenty-three million, six hundred thirty thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 169 182 234 273 294 338 441 507 546 637 819 882 1014 1183 1274 1521 1638 1911 2366 3042 3549 3822 5733 7098 8281 10647 11466 16562 21294 24843 31019 49686 62038 74529 93057 149058 186114 217133 279171 403247 434266 558342 651399 806494 1209741 1302798 1519931 1954197 2419482 2822729 3039862 3629223 3908394 4559793 5242211 5645458 7258446 8468187 9119586 10484422 13679379 15726633 16936374 19759103 25404561 27358758 31453266 36695477 39518206 47179899 50809122 59277309 73390954 94359798 110086431 118554618 177831927 220172862 256868339 330259293 355663854 513736678 660518586 770605017 1541210034 2311815051 4623630102