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63208742121 = 347343157337
BaseRepresentation
bin111010110111100010…
…001101110011101001
320001011010101210110000
4322313202031303221
52013422414221441
645012050413213
74365241305000
oct726742156351
9201133353400
1063208742121
1124896761558
1210300591209
135c64469b75
1430b8ab5c37
15199e2cb2b6
hexeb788dce9

63208742121 has 160 divisors (see below), whose sum is σ = 113729158400. Its totient is φ = 34950569472.

The previous prime is 63208742101. The next prime is 63208742131. The reversal of 63208742121 is 12124780236.

It is a happy number.

63208742121 is a `hidden beast` number, since 6 + 3 + 208 + 7 + 421 + 21 = 666.

It is not a de Polignac number, because 63208742121 - 25 = 63208742089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63208742101) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 187562865 + ... + 187563201.

It is an arithmetic number, because the mean of its divisors is an integer number (710807240).

Almost surely, 263208742121 is an apocalyptic number.

It is an amenable number.

63208742121 is a deficient number, since it is larger than the sum of its proper divisors (50520416279).

63208742121 is a wasteful number, since it uses less digits than its factorization.

63208742121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 63208742121 in words is "sixty-three billion, two hundred eight million, seven hundred forty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 43 49 63 81 129 147 157 189 301 337 343 387 441 471 567 903 1011 1029 1099 1161 1323 1413 2107 2359 2709 3033 3087 3297 3483 3969 4239 6321 6751 7077 7693 8127 9099 9261 9891 12717 14491 14749 16513 18963 20253 21231 23079 24381 27297 27783 29673 43473 44247 47257 49539 52909 53851 56889 60759 63693 69237 89019 101437 115591 130419 132741 141771 148617 158727 161553 170667 182277 191079 207711 304311 330799 346773 370363 391257 398223 425313 445851 476181 484659 546831 623133 710059 912933 992397 1040319 1111089 1173771 1194669 1275939 1337553 1428543 1453977 2130177 2275087 2315593 2592541 2738799 2977191 3120957 3333267 3827817 4285629 4361931 4970413 6390531 6825261 6946779 7777623 8216397 8931573 9362871 9999801 14911239 15925609 18147787 19171593 20475783 20840337 23332869 26794719 29999403 44733717 47776827 54443361 57514779 61427349 62521011 69998607 111479263 134201151 143330481 163330083 184282047 187563033 209995821 334437789 402603453 429991443 489990249 780354841 1003313367 1289974329 1469970747 2341064523 3009940101 7023193569 9029820303 21069580707 63208742121