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35442065672 = 2313340789093
BaseRepresentation
bin100001000000100000…
…110000000100001000
310101111000111111000222
4201000200300010020
51040041132100142
624140514245212
72363200405346
oct410040600410
9111430444028
1035442065672
1114038138572
126a51586808
13345a9a30c0
141a03100996
15dc67a2bd2
hex840830108

35442065672 has 16 divisors (see below), whose sum is σ = 71565709740. Its totient is φ = 16357876416.

The previous prime is 35442065669. The next prime is 35442065723. The reversal of 35442065672 is 27656024453.

It can be written as a sum of positive squares in 2 ways, for example, as 28766195236 + 6675870436 = 169606^2 + 81706^2 .

It is a super-3 number, since 3×354420656723 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 170394443 + ... + 170394650.

Almost surely, 235442065672 is an apocalyptic number.

It is an amenable number.

35442065672 is an abundant number, since it is smaller than the sum of its proper divisors (36123644068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35442065672 is a wasteful number, since it uses less digits than its factorization.

35442065672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340789112 (or 340789108 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 44.

The spelling of 35442065672 in words is "thirty-five billion, four hundred forty-two million, sixty-five thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 340789093 681578186 1363156372 2726312744 4430258209 8860516418 17721032836 35442065672