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2068346475 = 335213415749
BaseRepresentation
bin111101101001000…
…0111011001101011
312100010221212222000
41323102013121223
513213444041400
6541123502043
7102153440436
oct17322073153
95303855860
102068346475
11971589358
12498827923
1326c687370
141589aa81d
15c18b3600
hex7b48766b

2068346475 has 96 divisors (see below), whose sum is σ = 4192440000. Its totient is φ = 993254400.

The previous prime is 2068346447. The next prime is 2068346491. The reversal of 2068346475 is 5746438602.

2068346475 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2068346475 - 29 = 2068345963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2068346475.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356901 + ... + 362649.

It is an arithmetic number, because the mean of its divisors is an integer number (43671250).

Almost surely, 22068346475 is an apocalyptic number.

2068346475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2068346475 is an abundant number, since it is smaller than the sum of its proper divisors (2124093525).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2068346475 is a wasteful number, since it uses less digits than its factorization.

2068346475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2068346475 is about 45479.0773323294. The cubic root of 2068346475 is about 1274.1124619055.

The spelling of 2068346475 in words is "two billion, sixty-eight million, three hundred forty-six thousand, four hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 27 39 41 45 65 75 117 123 135 195 205 225 325 351 369 533 585 615 675 975 1025 1107 1599 1755 1845 2665 2925 3075 4797 5535 5749 7995 8775 9225 13325 14391 17247 23985 27675 28745 39975 51741 71955 74737 86235 119925 143725 155223 224211 235709 258705 359775 373685 431175 672633 707127 776115 1121055 1178545 1293525 1868425 2017899 2121381 3064217 3363165 3535635 3880575 5605275 5892725 6364143 9192651 10089495 10606905 15321085 16815825 17678175 27577953 31820715 45963255 50447475 53034525 76605425 82733859 137889765 159103575 229816275 413669295 689448825 2068346475