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35696434225 = 5229213032
BaseRepresentation
bin100001001111101011…
…000101110000110001
310102010202010202002111
4201033223011300301
51041101241343400
624222042245321
72402406453544
oct411753056061
9112122122074
1035696434225
1114158785411
126b027b6841
13349b5b503a
141a28bd685b
15dddc9b3ba
hex84fac5c31

35696434225 has 27 divisors (see below), whose sum is σ = 45877750113. Its totient is φ = 27551257440.

The previous prime is 35696434159. The next prime is 35696434237. The reversal of 35696434225 is 52243469653.

The square root of 35696434225 is 188935.

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 490666801 + 35205767424 = 22151^2 + 187632^2 .

It is not a de Polignac number, because 35696434225 - 29 = 35696433713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27394924 + ... + 27396226.

Almost surely, 235696434225 is an apocalyptic number.

35696434225 is the 188935-th square number.

35696434225 is the 94468-th centered octagonal number.

It is an amenable number.

35696434225 is a deficient number, since it is larger than the sum of its proper divisors (10181315888).

35696434225 is an frugal number, since it uses more digits than its factorization.

35696434225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 1337 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 49.

Multiplying 35696434225 by its sum of digits (49), we get a square (1749125277025 = 13225452).

The spelling of 35696434225 in words is "thirty-five billion, six hundred ninety-six million, four hundred thirty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 725 841 1303 4205 6515 21025 32575 37787 188935 944675 1095823 1697809 5479115 8489045 27395575 42445225 49236461 246182305 1230911525 1427857369 7139286845 35696434225