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208012685445 = 34513121732
BaseRepresentation
bin1100000110111010000…
…1011011000010000101
3201212220202120021120000
43001232201123002011
511402002221413240
6235320521431513
721012514436655
oct3015641330205
9655822507500
10208012685445
1180243813394
123439303b599
1316800384276
14a0d432c365
155626b28430
hex306e85b085

208012685445 has 90 divisors (see below), whose sum is σ = 377934675954. Its totient is φ = 109456850880.

The previous prime is 208012685381. The next prime is 208012685473. The reversal of 208012685445 is 544586210802.

208012685445 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 126 + 85 + 445 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 107427928644 + 100584756801 = 327762^2 + 317151^2 .

It is not a de Polignac number, because 208012685445 - 26 = 208012685381 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 208012685445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1202385379 + ... + 1202385551.

Almost surely, 2208012685445 is an apocalyptic number.

It is an amenable number.

208012685445 is a deficient number, since it is larger than the sum of its proper divisors (169921990509).

208012685445 is an frugal number, since it uses more digits than its factorization.

208012685445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

Multiplying 208012685445 by its sum of digits (45), we get a square (9360570845025 = 30595052).

208012685445 divided by its sum of digits (45) gives a square (4622504121 = 679892).

The spelling of 208012685445 in words is "two hundred eight billion, twelve million, six hundred eighty-five thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 131 135 173 393 405 519 655 865 1179 1557 1965 2595 3537 4671 5895 7785 10611 14013 17161 17685 22663 23355 29929 51483 53055 67989 70065 85805 89787 113315 149645 154449 203967 257415 269361 339945 448935 463347 611901 772245 808083 1019835 1346805 1390041 1835703 2316735 2424249 2968853 3059505 3920699 4040415 6950205 8906559 9178515 11762097 12121245 14844265 19603495 26719677 35286291 44532795 58810485 80159031 105858873 133598385 176431455 240477093 317576619 400795155 513611569 529294365 1202385465 1540834707 1587883095 2568057845 4622504121 7704173535 13867512363 23112520605 41602537089 69337561815 208012685445