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4212512544 = 253433313083
BaseRepresentation
bin1111101100010101…
…1101011100100000
3101212120120210212010
43323011131130200
532111400400134
61534000432520
7206250523452
oct37305353440
911776523763
104212512544
111871943029
12996918740
1352196a096
142bd6722d2
15199c51ce9
hexfb15d720

4212512544 has 96 divisors (see below), whose sum is σ = 11352870144. Its totient is φ = 1366928640.

The previous prime is 4212512533. The next prime is 4212512597. The reversal of 4212512544 is 4452152124.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1364827 + ... + 1367909.

It is an arithmetic number, because the mean of its divisors is an integer number (118259064).

Almost surely, 24212512544 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 4212512544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5676435072).

4212512544 is an abundant number, since it is smaller than the sum of its proper divisors (7140357600).

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

4212512544 is a wasteful number, since it uses less digits than its factorization.

4212512544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3462 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 4212512544 is about 64903.8715640292. The cubic root of 4212512544 is about 1615.0292874585.

Adding to 4212512544 its reverse (4452152124), we get a palindrome (8664664668).

The spelling of 4212512544 in words is "four billion, two hundred twelve million, five hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 331 344 516 662 688 993 1032 1324 1376 1986 2064 2648 3083 3972 4128 5296 6166 7944 9249 10592 12332 14233 15888 18498 24664 28466 31776 36996 42699 49328 56932 73992 85398 98656 113864 132569 147984 170796 227728 265138 295968 341592 397707 455456 530276 683184 795414 1020473 1060552 1366368 1590828 2040946 2121104 3061419 3181656 4081892 4242208 6122838 6363312 8163784 12245676 12726624 16327568 24491352 32655136 43880339 48982704 87760678 97965408 131641017 175521356 263282034 351042712 526564068 702085424 1053128136 1404170848 2106256272 4212512544