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34268663521 = 531225352769
BaseRepresentation
bin11111111010100100…
…100100111011100001
310021110020112110220001
4133322210210323201
51030140234213041
623424240220001
72322131556001
oct377244447341
9107406473801
1034268663521
1113595849124
12678460a601
1333018621c1
141931336001
15d5876d131
hex7fa924ee1

34268663521 has 8 divisors (see below), whose sum is σ = 34918753320. Its totient is φ = 33618703872.

The previous prime is 34268663519. The next prime is 34268663567. The reversal of 34268663521 is 12536686243.

It can be written as a sum of positive squares in 4 ways, for example, as 4697046225 + 29571617296 = 68535^2 + 171964^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34268663521 - 21 = 34268663519 is a prime.

It is a super-3 number, since 3×342686635213 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34268669521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 623025 + ... + 675793.

It is an arithmetic number, because the mean of its divisors is an integer number (4364844165).

Almost surely, 234268663521 is an apocalyptic number.

It is an amenable number.

34268663521 is a deficient number, since it is larger than the sum of its proper divisors (650089799).

34268663521 is a wasteful number, since it uses less digits than its factorization.

34268663521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65075.

The product of its digits is 1244160, while the sum is 46.

The spelling of 34268663521 in words is "thirty-four billion, two hundred sixty-eight million, six hundred sixty-three thousand, five hundred twenty-one".

Divisors: 1 53 12253 52769 649409 2796757 646578557 34268663521