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35044022044053 = 3211247684680891
BaseRepresentation
bin1111111011111010100100…
…11111000100010110010101
311121002011202011001102121100
413331331102133010112111
514043130124120402203
6202311000152540313
710244563351350201
oct775752237042625
9147064664042540
1035044022044053
11101910a4936900
123b1b9240b1699
131672838925099
148921d5551b01
1540b89715dea3
hex1fdf527c4595

35044022044053 has 36 divisors (see below), whose sum is σ = 56823036588864. Its totient is φ = 20786911820400.

The previous prime is 35044022044051. The next prime is 35044022044061.

35044022044053 is a `hidden beast` number, since 3 + 5 + 0 + 4 + 40 + 2 + 204 + 405 + 3 = 666.

35044022044053 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 35044022044053 - 21 = 35044022044051 is a prime.

It is a super-3 number, since 3×350440220440533 (a number of 42 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 35044022043999 and 35044022044017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35044022044051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 342289263 + ... + 342391628.

It is an arithmetic number, because the mean of its divisors is an integer number (1578417683024).

Almost surely, 235044022044053 is an apocalyptic number.

35044022044053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

35044022044053 is a deficient number, since it is larger than the sum of its proper divisors (21779014544811).

35044022044053 is a wasteful number, since it uses less digits than its factorization.

35044022044053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684680966 (or 684680952 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 3504402 and 2044053, that added together give a palindrome (5548455).

The spelling of 35044022044053 in words is "thirty-five trillion, forty-four billion, twenty-two million, forty-four thousand, fifty-three".

Divisors: 1 3 9 11 33 47 99 121 141 363 423 517 1089 1551 4653 5687 17061 51183 684680891 2054042673 6162128019 7531489801 22594469403 32180001877 67783408209 82846387811 96540005631 248539163433 289620016893 353980020647 745617490299 1061940061941 3185820185823 3893780227117 11681340681351 35044022044053