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183314135104 = 2610924912
BaseRepresentation
bin1010101010111001011…
…1111011100001000000
3122112011110212220221021
42222232113323201000
511000411404310404
6220114030035224
716146460303402
oct2525627734100
9575143786837
10183314135104
117081a060a11
122b63b648b14
1314395435639
148c30014b72
154b7d64e454
hex2aae5fb840

183314135104 has 63 divisors (see below), whose sum is σ = 367881134061. Its totient is φ = 90631215360.

The previous prime is 183314135099. The next prime is 183314135129. The reversal of 183314135104 is 401531413381.

The square root of 183314135104 is 428152.

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

183314135104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 127769072704 + 55545062400 = 357448^2 + 235680^2 .

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 183314135104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 373348299 + ... + 373348789.

Almost surely, 2183314135104 is an apocalyptic number.

183314135104 is the 428152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 183314135104

183314135104 is an abundant number, since it is smaller than the sum of its proper divisors (184566998957).

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

183314135104 is an frugal number, since it uses more digits than its factorization.

183314135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

Adding to 183314135104 its reverse (401531413381), we get a palindrome (584845548485).

The spelling of 183314135104 in words is "one hundred eighty-three billion, three hundred fourteen million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 109 218 436 491 872 982 1744 1964 3488 3928 6976 7856 11881 15712 23762 31424 47524 53519 95048 107038 190096 214076 241081 380192 428152 482162 760384 856304 964324 1712608 1928648 3425216 3857296 5833571 7714592 11667142 15429184 23334284 26277829 46668568 52555658 93337136 105111316 186674272 210222632 373348544 420445264 840890528 1681781056 2864283361 5728566722 11457133444 22914266888 45828533776 91657067552 183314135104