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163931814130 = 257174110493203
BaseRepresentation
bin1001100010101100011…
…0001111100011110010
3120200010200122000000111
42120223012033203302
510141213021023010
6203150443411534
714562245300110
oct2305306174362
9520120560014
10163931814130
1163583265327
1227930523baa
13125c6a06466
147d11b98ab0
1543e6c4458a
hex262b18f8f2

163931814130 has 128 divisors (see below), whose sum is σ = 366240268800. Its totient is φ = 51543490560.

The previous prime is 163931814121. The next prime is 163931814131. The reversal of 163931814130 is 31418139361.

163931814130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1639318141303 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (163931814131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51179109 + ... + 51182311.

It is an arithmetic number, because the mean of its divisors is an integer number (2861252100).

Almost surely, 2163931814130 is an apocalyptic number.

163931814130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

163931814130 is an abundant number, since it is smaller than the sum of its proper divisors (202308454670).

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

163931814130 is a wasteful number, since it uses less digits than its factorization.

163931814130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324.

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 163931814130 in words is "one hundred sixty-three billion, nine hundred thirty-one million, eight hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 41 70 82 85 119 170 205 238 287 410 574 595 697 1049 1190 1394 1435 2098 2870 3203 3485 4879 5245 6406 6970 7343 9758 10490 14686 16015 17833 22421 24395 32030 35666 36715 43009 44842 48790 54451 73430 86018 89165 108902 112105 124831 131323 178330 215045 224210 249662 262646 272255 301063 381157 430090 544510 602126 624155 656615 731153 762314 919261 1248310 1313230 1462306 1505315 1838522 1905785 2232491 3010630 3359947 3655765 3811570 4464982 4596305 5118071 6719894 7311530 9192610 10236142 11162455 15627437 16799735 22324910 23519629 25590355 31254874 33599470 47039258 51180710 57119099 78137185 114238198 117598145 137757827 156274370 235196290 275515654 285595495 399833693 571190990 688789135 799667386 964304789 1377578270 1928609578 1999168465 2341883059 3998336930 4683766118 4821523945 9643047890 11709415295 16393181413 23418830590 32786362826 81965907065 163931814130