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34056636653 = 133379678039
BaseRepresentation
bin11111101101111011…
…110000100011101101
310020220110120101201002
4133231323300203231
51024221444333103
623351223530045
72313645430604
oct375573604355
9106813511632
1034056636653
11134970a1206
1267255b9925
133299956910
141911102a3b
15d44d3a488
hex7edef08ed

34056636653 has 16 divisors (see below), whose sum is σ = 36827831040. Its totient is φ = 31307302656.

The previous prime is 34056636641. The next prime is 34056636661. The reversal of 34056636653 is 35663665043.

It is a cyclic number.

It is not a de Polignac number, because 34056636653 - 26 = 34056636589 is a prime.

It is a super-2 number, since 2×340566366532 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34056636598 and 34056636607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34056636683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4232408 + ... + 4240446.

It is an arithmetic number, because the mean of its divisors is an integer number (2301739440).

Almost surely, 234056636653 is an apocalyptic number.

It is an amenable number.

34056636653 is a deficient number, since it is larger than the sum of its proper divisors (2771194387).

34056636653 is a wasteful number, since it uses less digits than its factorization.

34056636653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9356.

The product of its (nonzero) digits is 3499200, while the sum is 47.

The spelling of 34056636653 in words is "thirty-four billion, fifty-six million, six hundred thirty-six thousand, six hundred fifty-three".

Divisors: 1 13 337 967 4381 8039 12571 104507 325879 2709143 4236427 7773713 35218859 101058269 2619741281 34056636653