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6528240012 = 2237238928541
BaseRepresentation
bin1100001010001110…
…10000100110001100
3121211222000221202010
412011013100212030
5101332212140022
62555442501220
7320530060500
oct60507204614
917758027663
106528240012
112850026388
121322364810
1380065aa18
1445d036300
152831cd50c
hex1851d098c

6528240012 has 72 divisors (see below), whose sum is σ = 17765682480. Its totient is φ = 1860351360.

The previous prime is 6528240007. The next prime is 6528240031. The reversal of 6528240012 is 2100428256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214462 + ... + 243002.

It is an arithmetic number, because the mean of its divisors is an integer number (246745590).

Almost surely, 26528240012 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 6528240012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8882841240).

6528240012 is an abundant number, since it is smaller than the sum of its proper divisors (11237442468).

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

6528240012 is a wasteful number, since it uses less digits than its factorization.

6528240012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28951 (or 28942 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 6528240012 is about 80797.5247888201. The cubic root of 6528240012 is about 1868.9543957788.

Adding to 6528240012 its reverse (2100428256), we get a palindrome (8628668268).

The spelling of 6528240012 in words is "six billion, five hundred twenty-eight million, two hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 389 588 778 1167 1556 2334 2723 4668 5446 8169 10892 16338 19061 28541 32676 38122 57082 57183 76244 85623 114164 114366 171246 199787 228732 342492 399574 599361 799148 1198722 1398509 2397444 2797018 4195527 5594036 8391054 11102449 16782108 22204898 33307347 44409796 66614694 77717143 133229388 155434286 233151429 310868572 466302858 544020001 932605716 1088040002 1632060003 2176080004 3264120006 6528240012