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34263056401 = 727388710799
BaseRepresentation
bin11111111010001111…
…001100000000010001
310021102211222121100221
4133322033030000101
51030132320301101
623423520113041
72322033113500
oct377217140021
9107384877327
1034263056401
1113592669442
126782765781
13330064ac92
1419306b6837
15d58011aa1
hex7fa3cc011

34263056401 has 24 divisors (see below), whose sum is σ = 40452307200. Its totient is φ = 28930692672.

The previous prime is 34263056393. The next prime is 34263056449. The reversal of 34263056401 is 10465036243.

It is not a de Polignac number, because 34263056401 - 23 = 34263056393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34263056701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3167400 + ... + 3178198.

It is an arithmetic number, because the mean of its divisors is an integer number (1685512800).

Almost surely, 234263056401 is an apocalyptic number.

It is an amenable number.

34263056401 is a deficient number, since it is larger than the sum of its proper divisors (6189250799).

34263056401 is a wasteful number, since it uses less digits than its factorization.

34263056401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11773 (or 11766 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 34263056401 in words is "thirty-four billion, two hundred sixty-three million, fifty-six thousand, four hundred one".

Divisors: 1 7 49 73 511 887 3577 6209 10799 43463 64751 75593 453257 529151 788327 3172799 5518289 9578713 38628023 67050991 469356937 699246049 4894722343 34263056401