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345403016125 = 5327199110289
BaseRepresentation
bin1010000011010111001…
…11111100001110111101
31020000112201201012222221
411001223213330032331
521124341133004000
6422402001205341
733645260123626
oct5015347741675
91200481635887
10345403016125
11123536aa8322
1256b36930851
132675739911b
1412a0911ca4d
158eb86a961a
hex506b9fc3bd

345403016125 has 32 divisors (see below), whose sum is σ = 433132277760. Its totient is φ = 274998240000.

The previous prime is 345403016107. The next prime is 345403016129. The reversal of 345403016125 is 521610304543.

It is a de Polignac number, because none of the positive numbers 2k-345403016125 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345403016129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33564981 + ... + 33575269.

It is an arithmetic number, because the mean of its divisors is an integer number (13535383680).

Almost surely, 2345403016125 is an apocalyptic number.

It is an amenable number.

345403016125 is a deficient number, since it is larger than the sum of its proper divisors (87729261635).

345403016125 is a wasteful number, since it uses less digits than its factorization.

345403016125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11566 (or 11556 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 345403016125 in words is "three hundred forty-five billion, four hundred three million, sixteen thousand, one hundred twenty-five".

Divisors: 1 5 25 125 271 991 1355 4955 6775 10289 24775 33875 51445 123875 257225 268561 1286125 1342805 2788319 6714025 10196399 13941595 33570125 50981995 69707975 254909975 348539875 1274549875 2763224129 13816120645 69080603225 345403016125