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27140968351 = 773102152021
BaseRepresentation
bin11001010001101110…
…100100111110011111
32121001111112001021001
4121101232210332133
5421041041441401
620245101051131
71650402265420
oct312156447637
977044461231
1027140968351
1110568407262
125315556aa7
132736c698b3
141456859647
15a8cb2d601
hex651ba4f9f

27140968351 has 16 divisors (see below), whose sum is σ = 31474558528. Its totient is φ = 22922092800.

The previous prime is 27140968339. The next prime is 27140968363. The reversal of 27140968351 is 15386904172.

It is an interprime number because it is at equal distance from previous prime (27140968339) and next prime (27140968363).

It is a 8-Lehmer number, since φ(27140968351) divides (27140968351-1)8.

It is a cyclic number.

It is not a de Polignac number, because 27140968351 - 215 = 27140935583 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27140968651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495721 + ... + 547741.

It is an arithmetic number, because the mean of its divisors is an integer number (1967159908).

It is a 2-persistent number, because it is pandigital, and so is 2⋅27140968351 = 54281936702, but 3⋅27140968351 = 81422905053 is not.

Almost surely, 227140968351 is an apocalyptic number.

27140968351 is a deficient number, since it is larger than the sum of its proper divisors (4333590177).

27140968351 is a wasteful number, since it uses less digits than its factorization.

27140968351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53122.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 27140968351 in words is "twenty-seven billion, one hundred forty million, nine hundred sixty-eight thousand, three hundred fifty-one".

Divisors: 1 7 73 511 1021 7147 52021 74533 364147 521731 3797533 26582731 53113441 371794087 3877281193 27140968351