Search a number
-
+
530006521680880 = 2454117949112831433
BaseRepresentation
bin111100010000010011100001…
…0011101000001001111110000
32120111121010110202222010012221
41320200213002131001033300
51023432111324022242010
65115121345035130424
7216431464456046026
oct17040470235011760
92514533422863187
10530006521680880
1114397055a27a232
124b53a9938a3a14
1319997528ca52ba
1494c4649a12716
154141a4500bdda
hex1e209c27413f0

530006521680880 has 320 divisors, whose sum is σ = 1273837464184320. Its totient is φ = 204954328678400.

The previous prime is 530006521680863. The next prime is 530006521681079. The reversal of 530006521680880 is 88086125600035.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369858004644 + ... + 369858006076.

It is an arithmetic number, because the mean of its divisors is an integer number (3980742075576).

Almost surely, 2530006521680880 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 530006521680880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636918732092160).

530006521680880 is an abundant number, since it is smaller than the sum of its proper divisors (743830942503440).

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

530006521680880 is a wasteful number, since it uses less digits than its factorization.

530006521680880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 52.

The spelling of 530006521680880 in words is "five hundred thirty trillion, six billion, five hundred twenty-one million, six hundred eighty thousand, eight hundred eighty".