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528371979664 = 2423279012
BaseRepresentation
bin1111011000001010110…
…11001001010110010000
31212111211011002121120011
413230011123021112100
532124101211322124
61042421501124304
753113356503254
oct7540533112620
91774734077504
10528371979664
11194099231781
128649a859694
133aa96149219
141b805362264
15db26875994
hex7b056c9590

528371979664 has 45 divisors (see below), whose sum is σ = 1070300970529. Its totient is φ = 252667659200.

The previous prime is 528371979661. The next prime is 528371979671. The reversal of 528371979664 is 466979173825.

The square root of 528371979664 is 726892.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 363015890064 + 165356089600 = 602508^2 + 406640^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 528371979664.

It is not an unprimeable number, because it can be changed into a prime (528371979661) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 66870114 + ... + 66878014.

Almost surely, 2528371979664 is an apocalyptic number.

528371979664 is the 726892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528371979664

528371979664 is an abundant number, since it is smaller than the sum of its proper divisors (541928990865).

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

528371979664 is an frugal number, since it uses more digits than its factorization.

528371979664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15856 (or 7926 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 67.

The spelling of 528371979664 in words is "five hundred twenty-eight billion, three hundred seventy-one million, nine hundred seventy-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 7901 8464 15802 31604 63208 126416 181723 363446 726892 1453784 2907568 4179629 8359258 16718516 33437032 62425801 66874064 124851602 249703204 499406408 998812816 1435793423 2871586846 5743173692 11486347384 22972694768 33023248729 66046497458 132092994916 264185989832 528371979664