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34835975965 = 572289749081
BaseRepresentation
bin100000011100011000…
…101100111100011101
310022220210000221021001
4200130120230330131
51032321002212330
624000423510301
72342160624100
oct403430547435
9108823027231
1034835975965
111385700038a
1269025b8391
13339225473b
141986810737
15d8d4809ca
hex81c62cf1d

34835975965 has 24 divisors (see below), whose sum is σ = 48645955512. Its totient is φ = 23878794240.

The previous prime is 34835975963. The next prime is 34835975971. The reversal of 34835975965 is 56957953843.

It can be written as a sum of positive squares in 4 ways, for example, as 378964089 + 34457011876 = 19467^2 + 185626^2 .

It is not a de Polignac number, because 34835975965 - 21 = 34835975963 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34835975897 and 34835975906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34835975963) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 685225 + ... + 734305.

It is an arithmetic number, because the mean of its divisors is an integer number (2026914813).

Almost surely, 234835975965 is an apocalyptic number.

34835975965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34835975965 is a deficient number, since it is larger than the sum of its proper divisors (13809979547).

34835975965 is a wasteful number, since it uses less digits than its factorization.

34835975965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51997 (or 51990 counting only the distinct ones).

The product of its digits is 122472000, while the sum is 64.

The spelling of 34835975965 in words is "thirty-four billion, eight hundred thirty-five million, nine hundred seventy-five thousand, nine hundred sixty-five".

Divisors: 1 5 7 35 49 245 2897 14485 20279 49081 101395 141953 245405 343567 709765 1717835 2404969 12024845 142187657 710938285 995313599 4976567995 6967195193 34835975965