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213340524544 = 2127210312
BaseRepresentation
bin1100011010110000010…
…1100001000000000000
3202101200001211112211001
43012230011201000000
511443410133241134
6242001323501344
721261530352400
oct3065405410000
9671601745731
10213340524544
11825281897a4
123541b387854
131716c10a194
14a47bb6c800
15583973c414
hex31ac161000

213340524544 has 117 divisors (see below), whose sum is σ = 496764499791. Its totient is φ = 91342970880.

The previous prime is 213340524503. The next prime is 213340524581. The reversal of 213340524544 is 445425043312.

The square root of 213340524544 is 461888.

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

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 206925309 + ... + 206926339.

Almost surely, 2213340524544 is an apocalyptic number.

213340524544 is the 461888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213340524544

213340524544 is an abundant number, since it is smaller than the sum of its proper divisors (283423975247).

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

213340524544 is an frugal number, since it uses more digits than its factorization.

213340524544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 213340524544 its reverse (445425043312), we get a palindrome (658765567856).

The spelling of 213340524544 in words is "two hundred thirteen billion, three hundred forty million, five hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1031 1568 1792 2048 2062 3136 3584 4096 4124 6272 7168 7217 8248 12544 14336 14434 16496 25088 28672 28868 32992 50176 50519 57736 65984 100352 101038 115472 131968 200704 202076 230944 263936 404152 461888 527872 808304 923776 1055744 1062961 1616608 1847552 2111488 2125922 3233216 3695104 4222976 4251844 6466432 7390208 7440727 8503688 12932864 14780416 14881454 17007376 25865728 29560832 29762908 34014752 51731456 52085089 59525816 68029504 103462912 104170178 119051632 136059008 206925824 208340356 238103264 272118016 416680712 476206528 544236032 833361424 952413056 1088472064 1666722848 1904826112 2176944128 3333445696 3809652224 4353888256 6666891392 7619304448 13333782784 15238608896 26667565568 30477217792 53335131136 106670262272 213340524544