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34180566201 = 323797840689
BaseRepresentation
bin11111110101010100…
…100000110010111001
310021020002202200002100
4133311110200302321
51030000211104301
623411412054013
72320012006335
oct376524406271
9107202680070
1034180566201
1113550047321
12675b004309
1332b9528302
1419237627c5
15d50b6a286
hex7f5520cb9

34180566201 has 6 divisors (see below), whose sum is σ = 49371928970. Its totient is φ = 22787044128.

The previous prime is 34180566157. The next prime is 34180566209. The reversal of 34180566201 is 10266508143.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 18127929600 + 16052636601 = 134640^2 + 126699^2 .

It is not a de Polignac number, because 34180566201 - 215 = 34180533433 is a prime.

It is a super-2 number, since 2×341805662012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34180566209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1898920336 + ... + 1898920353.

Almost surely, 234180566201 is an apocalyptic number.

It is an amenable number.

34180566201 is a deficient number, since it is larger than the sum of its proper divisors (15191362769).

34180566201 is a wasteful number, since it uses less digits than its factorization.

34180566201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797840695 (or 3797840692 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 34180566201 in words is "thirty-four billion, one hundred eighty million, five hundred sixty-six thousand, two hundred one".

Divisors: 1 3 9 3797840689 11393522067 34180566201