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35067800045 = 583210092
BaseRepresentation
bin100000101010001101…
…000010100111101101
310100111221020211010002
4200222031002213231
51033304324100140
624035424354045
72351004245045
oct405215024755
9110457224102
1035067800045
111396594a233
126968175925
1333cb2a2055
1419a9518725
15da39c4415
hex82a3429ed

35067800045 has 18 divisors (see below), whose sum is σ = 42636729258. Its totient is φ = 27688768128.

The previous prime is 35067800017. The next prime is 35067800051. The reversal of 35067800045 is 54000876053.

It can be written as a sum of positive squares in 3 ways, for example, as 532409476 + 34535390569 = 23074^2 + 185837^2 .

It is not a de Polignac number, because 35067800045 - 214 = 35067783661 is a prime.

It is a super-2 number, since 2×350678000452 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35067799981 and 35067800008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34754501 + ... + 34755509.

It is an arithmetic number, because the mean of its divisors is an integer number (2368707181).

Almost surely, 235067800045 is an apocalyptic number.

It is an amenable number.

35067800045 is a deficient number, since it is larger than the sum of its proper divisors (7568929213).

35067800045 is an frugal number, since it uses more digits than its factorization.

35067800045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 35067800045 in words is "thirty-five billion, sixty-seven million, eight hundred thousand, forty-five".

Divisors: 1 5 83 415 1009 5045 6889 34445 83747 418735 1018081 5090405 6951001 34755005 84500723 422503615 7013560009 35067800045