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381213630625 = 54246972
BaseRepresentation
bin1011000110000100001…
…10100110000010100001
31100102222102200220222111
411203002012212002201
522221211142140000
6451043243035321
736353554252552
oct5430206460241
91312872626874
10381213630625
11137743179aa3
1261a6b80bb41
1329c4351b149
1414645158329
159db24abcba
hex58c21a60a1

381213630625 has 15 divisors (see below), whose sum is σ = 476383841967. Its totient is φ = 304958556000.

The previous prime is 381213630619. The next prime is 381213630649. The reversal of 381213630625 is 526036312183.

The square root of 381213630625 is 617425.

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

It can be written as a sum of positive squares in 7 ways, for example, as 96160149409 + 285053481216 = 310097^2 + 533904^2 .

It is not a de Polignac number, because 381213630625 - 25 = 381213630593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15423277 + ... + 15447973.

Almost surely, 2381213630625 is an apocalyptic number.

381213630625 is the 617425-th square number.

381213630625 is the 308713-rd centered octagonal number.

It is an amenable number.

381213630625 is a deficient number, since it is larger than the sum of its proper divisors (95170211342).

381213630625 is an frugal number, since it uses more digits than its factorization.

381213630625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49414 (or 24702 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 381213630625 in words is "three hundred eighty-one billion, two hundred thirteen million, six hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 24697 123485 617425 3087125 15435625 609941809 3049709045 15248545225 76242726125 381213630625