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139630016205 = 32517229431859
BaseRepresentation
bin1000001000001010011…
…0001111011011001101
3111100102001111202101200
42002002212033123031
54241430241004310
6144051203500113
713042106361231
oct2020246173315
9440361452350
10139630016205
115424255a909
1223089987639
131022302cb84
146a8843c5c1
1539734db9c0
hex208298f6cd

139630016205 has 144 divisors (see below), whose sum is σ = 266892537600. Its totient is φ = 67436328960.

The previous prime is 139630016179. The next prime is 139630016209. The reversal of 139630016205 is 502610036931.

139630016205 is a `hidden beast` number, since 1 + 3 + 9 + 630 + 0 + 16 + 2 + 0 + 5 = 666.

It is not a de Polignac number, because 139630016205 - 213 = 139630008013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 139630016205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139630016209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162549066 + ... + 162549924.

It is an arithmetic number, because the mean of its divisors is an integer number (1853420400).

Almost surely, 2139630016205 is an apocalyptic number.

139630016205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

139630016205 is a deficient number, since it is larger than the sum of its proper divisors (127262521395).

139630016205 is a wasteful number, since it uses less digits than its factorization.

139630016205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 139630016205 its sum of digits (36), we get a square (139630016241 = 3736712).

The spelling of 139630016205 in words is "one hundred thirty-nine billion, six hundred thirty million, sixteen thousand, two hundred five".

Divisors: 1 3 5 9 15 17 29 45 51 85 87 145 153 255 261 289 431 435 493 765 859 867 1293 1305 1445 1479 2155 2465 2577 2601 3879 4295 4335 4437 6465 7327 7395 7731 8381 12499 12885 13005 14603 19395 21981 22185 24911 25143 36635 37497 38655 41905 43809 62495 65943 73015 74733 75429 109905 112491 124555 124559 125715 131427 187485 212483 219045 224199 248251 329715 370229 373665 373677 377145 423487 562455 622795 637449 657135 744753 1062415 1110687 1120995 1121031 1241255 1270461 1851145 1868385 1912347 2117435 2234259 3187245 3332061 3612211 3723765 3811383 5553435 5605155 6293893 6352305 7199279 9561735 10736641 10836633 11171295 16660305 18061055 18881679 19056915 21597837 31469465 32209923 32509899 35996395 53683205 54183165 56645037 64793511 94408395 96629769 106996181 107989185 161049615 162549495 182522897 283225185 320988543 323967555 483148845 534980905 547568691 912614485 962965629 1604942715 1642706073 2737843455 3102889249 4814828145 8213530365 9308667747 15514446245 27926003241 46543338735 139630016205