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949406640625 = 5815592
BaseRepresentation
bin11011101000011010000…
…10111010100111110001
310100202120210002110211001
431310031002322213301
5111023341100000000
62004052411122001
7125410116202402
oct15641502724761
93322523073731
10949406640625
113367063301a3
12134002443301
136b6b46169c1
1433d46dbb9a9
1519a69c6646a
hexdd0d0ba9f1

949406640625 has 27 divisors (see below), whose sum is σ = 1187519411521. Its totient is φ = 759038125000.

The previous prime is 949406640613. The next prime is 949406640641. The reversal of 949406640625 is 526046604949.

The square root of 949406640625 is 974375.

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 675015057649 + 274391582976 = 821593^2 + 523824^2 .

It is not a de Polignac number, because 949406640625 - 221 = 949404543473 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 608983596 + ... + 608985154.

Almost surely, 2949406640625 is an apocalyptic number.

949406640625 is the 974375-th square number.

949406640625 is the 487188-th centered octagonal number.

It is an amenable number.

949406640625 is a deficient number, since it is larger than the sum of its proper divisors (238112770896).

949406640625 is an frugal number, since it uses more digits than its factorization.

949406640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 55.

The spelling of 949406640625 in words is "nine hundred forty-nine billion, four hundred six million, six hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 1559 3125 7795 15625 38975 78125 194875 390625 974375 2430481 4871875 12152405 24359375 60762025 121796875 303810125 608984375 1519050625 7595253125 37976265625 189881328125 949406640625