Search a number
-
+
1215429076225 = 527213224232
BaseRepresentation
bin10001101011111101001…
…101111110010100000001
311022012020100020101121001
4101223331031332110001
5124403144320414400
62330205503132001
7153545315454400
oct21537515762401
94265210211531
101215429076225
11429508033461
121776848a4001
138a7cacb5a00
1442b81721637
1521939508a6a
hex11afd37e501

1215429076225 has 81 divisors (see below), whose sum is σ = 1899213299433. Its totient is φ = 769009026240.

The previous prime is 1215429076223. The next prime is 1215429076231. The reversal of 1215429076225 is 5226709245121.

The square root of 1215429076225 is 1102465.

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

It can be written as a sum of positive squares in 4 ways, for example, as 313278642369 + 902150433856 = 559713^2 + 949816^2 .

It is not a de Polignac number, because 1215429076225 - 21 = 1215429076223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1215429076223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 501620364 + ... + 501622786.

Almost surely, 21215429076225 is an apocalyptic number.

1215429076225 is the 1102465-th square number.

1215429076225 is the 551233-rd centered octagonal number.

It is an amenable number.

1215429076225 is a deficient number, since it is larger than the sum of its proper divisors (683784223208).

1215429076225 is an frugal number, since it uses more digits than its factorization.

1215429076225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4896 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 1215429076225 in words is "one trillion, two hundred fifteen billion, four hundred twenty-nine million, seventy-six thousand, two hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 169 175 245 325 455 637 845 1183 1225 2275 2423 3185 4225 5915 8281 12115 15925 16961 29575 31499 41405 60575 84805 118727 157495 207025 220493 409487 424025 593635 787475 1102465 1543451 2047435 2866409 2968175 5512325 5870929 7717255 10237175 14332045 20064863 29354645 38586275 41096503 71660225 76322077 100324315 146773225 205482515 287675521 381610385 501621575 534254539 992187001 1027412575 1438377605 1908051925 2671272695 3739781773 4960935005 6945309007 7191888025 13356363475 18698908865 24804675025 34726545035 48617163049 93494544325 173632725175 243085815245 1215429076225