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1323530600704 = 2813255312
BaseRepresentation
bin10011010000101000100…
…100100100000100000000
311200112021010022211010221
4103100220210210010000
5133141042313210304
62452004354032424
7164423215324654
oct23205044440400
94615233284127
101323530600704
11470340579834
12194613878714
1397a68093c00
14480b8716a64
1524664ae5054
hex13428924100

1323530600704 has 81 divisors (see below), whose sum is σ = 2861263362909. Its totient is φ = 610749834240.

The previous prime is 1323530600633. The next prime is 1323530600713. The reversal of 1323530600704 is 4070060353231.

The square root of 1323530600704 is 1150448.

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., 195788550400 + 1127742050304 = 442480^2 + 1061952^2 .

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 1323530600704.

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, 239290419 + ... + 239295949.

Almost surely, 21323530600704 is an apocalyptic number.

1323530600704 is the 1150448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323530600704

1323530600704 is an abundant number, since it is smaller than the sum of its proper divisors (1537732762205).

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

1323530600704 is an frugal number, since it uses more digits than its factorization.

1323530600704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11104 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

Adding to 1323530600704 its reverse (4070060353231), we get a palindrome (5393590953935).

The spelling of 1323530600704 in words is "one trillion, three hundred twenty-three billion, five hundred thirty million, six hundred thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 5408 5531 10816 11062 21632 22124 43264 44248 71903 88496 143806 176992 287612 353984 575224 707968 934739 1150448 1415936 1869478 2300896 3738956 4601792 7477912 9203584 14955824 18407168 29911648 30591961 59823296 61183922 119646592 122367844 239293184 244735688 397695493 489471376 795390986 978942752 1590781972 1957885504 3181563944 3915771008 5170041409 6363127888 7831542016 10340082818 12726255776 20680165636 25452511552 41360331272 50905023104 82720662544 101810046208 165441325088 330882650176 661765300352 1323530600704