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92148000391 = 4710921185247
BaseRepresentation
bin101010111010001110…
…0101110011010000111
322210211221201102201101
41111310130232122013
53002204342003031
6110155431240531
76441341036236
oct1256434563207
9283757642641
1092148000391
1136097164627
1215a38219147
1388c6b48325
1446622c0b1d
1525e4c26361
hex157472e687

92148000391 has 16 divisors (see below), whose sum is σ = 95423201280. Its totient is φ = 88935446880.

The previous prime is 92148000349. The next prime is 92148000403. The reversal of 92148000391 is 19300084129.

It is a cyclic number.

It is not a de Polignac number, because 92148000391 - 215 = 92147967623 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 92148000391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92148030391) 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, 1038330 + ... + 1123576.

It is an arithmetic number, because the mean of its divisors is an integer number (5963950080).

Almost surely, 292148000391 is an apocalyptic number.

92148000391 is the 191988-th centered pentagonal number.

92148000391 is a deficient number, since it is larger than the sum of its proper divisors (3275200889).

92148000391 is a wasteful number, since it uses less digits than its factorization.

92148000391 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85614.

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 92148000391 in words is "ninety-two billion, one hundred forty-eight million, three hundred ninety-one", and thus it is an aban number.

Divisors: 1 47 109 211 5123 9917 22999 85247 1080953 4006609 9291923 17987117 436720381 845394499 1960595753 92148000391