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381263026225 = 521234932
BaseRepresentation
bin1011000110001010000…
…11000001100000110001
31100110002212122111000011
411203011003001200301
522221311313314400
6451052205454521
736355024152214
oct5430503014061
91313085574004
10381263026225
11137769047704
1261a84271441
1329c50824403
141464b93577b
159db69b78ba
hex58c50c1831

381263026225 has 9 divisors (see below), whose sum is σ = 472769980833. Its totient is φ = 305007951120.

The previous prime is 381263026219. The next prime is 381263026247. The reversal of 381263026225 is 522620362183.

The square root of 381263026225 is 617465.

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 63049703409 + 318213322816 = 251097^2 + 564104^2 .

It is not a de Polignac number, because 381263026225 - 23 = 381263026217 is a prime.

It is a super-2 number, since 2×3812630262252 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3025579 + ... + 3149071.

Almost surely, 2381263026225 is an apocalyptic number.

381263026225 is the 617465-th square number.

381263026225 is the 308733-rd centered octagonal number.

It is an amenable number.

381263026225 is a deficient number, since it is larger than the sum of its proper divisors (91506954608).

381263026225 is an frugal number, since it uses more digits than its factorization.

381263026225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246996 (or 123498 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 381263026225 in words is "three hundred eighty-one billion, two hundred sixty-three million, twenty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 123493 617465 3087325 15250521049 76252605245 381263026225