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4650456132 = 2233725771523
BaseRepresentation
bin1000101010011000…
…00101010001000100
3110000002122122112000
410111030011101010
534011004044012
62045243225300
7223146140100
oct42514052104
913002578460
104650456132
111a77074583
12a99518230
135916051ba
143218b2900
151c340cddc
hex115305444

4650456132 has 144 divisors (see below), whose sum is σ = 14058717120. Its totient is φ = 1325528064.

The previous prime is 4650456073. The next prime is 4650456137. The reversal of 4650456132 is 2316540564.

4650456132 is a `hidden beast` number, since 4 + 65 + 0 + 4 + 561 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4650456137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3052723 + ... + 3054245.

It is an arithmetic number, because the mean of its divisors is an integer number (97629980).

Almost surely, 24650456132 is an apocalyptic number.

4650456132 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 4650456132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029358560).

4650456132 is an abundant number, since it is smaller than the sum of its proper divisors (9408260988).

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

4650456132 is a wasteful number, since it uses less digits than its factorization.

4650456132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4650456132 is about 68194.2529250083. The cubic root of 4650456132 is about 1669.1621087476.

Adding to 4650456132 its reverse (2316540564), we get a palindrome (6966996696).

The spelling of 4650456132 in words is "four billion, six hundred fifty million, four hundred fifty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 577 588 756 882 1154 1323 1523 1731 1764 2308 2646 3046 3462 4039 4569 5193 5292 6092 6924 8078 9138 10386 10661 12117 13707 15579 16156 18276 20772 21322 24234 27414 28273 31158 31983 36351 41121 42644 48468 54828 56546 62316 63966 72702 74627 82242 84819 95949 109053 113092 127932 145404 149254 164484 169638 191898 218106 223881 254457 287847 298508 339276 383796 436212 447762 508914 575694 671643 763371 878771 895524 1017828 1151388 1343286 1526742 1757542 2014929 2636313 2686572 3053484 3515084 4029858 5272626 6151397 7908939 8059716 10545252 12302794 15817878 18454191 23726817 24605588 31635756 36908382 43059779 47453634 55362573 73816764 86119558 94907268 110725146 129179337 166087719 172239116 221450292 258358674 332175438 387538011 516717348 664350876 775076022 1162614033 1550152044 2325228066 4650456132