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432130546394380 = 225319722717316301
BaseRepresentation
bin110001001000001010011101…
…1101101101110010100001100
32002200001021110202212200101201
41202100110323231232110030
5423120011324334110010
64131022011001315244
7160010254532020531
oct14220247355562414
92080037422780351
10432130546394380
11115765598901869
1240571965795b24
1315717974373172
14789d331340d88
1534e5a91bc823a
hex189053bb6e50c

432130546394380 has 96 divisors (see below), whose sum is σ = 946449350687232. Its totient is φ = 165544031232000.

The previous prime is 432130546394377. The next prime is 432130546394387. The reversal of 432130546394380 is 83493645031234.

It is not an unprimeable number, because it can be changed into a prime (432130546394387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1366042230 + ... + 1366358530.

It is an arithmetic number, because the mean of its divisors is an integer number (9858847402992).

Almost surely, 2432130546394380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432130546394380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473224675343616).

432130546394380 is an abundant number, since it is smaller than the sum of its proper divisors (514318804292852).

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

432130546394380 is a wasteful number, since it uses less digits than its factorization.

432130546394380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339155 (or 339153 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 55.

The spelling of 432130546394380 in words is "four hundred thirty-two trillion, one hundred thirty billion, five hundred forty-six million, three hundred ninety-four thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 97 124 155 194 310 388 485 620 970 1940 3007 6014 12028 15035 22717 30070 45434 60140 90868 113585 227170 316301 454340 632602 704227 1265204 1408454 1581505 2203549 2816908 3163010 3521135 4407098 6326020 7042270 8814196 9805331 11017745 14084540 19610662 22035490 30681197 39221324 44070980 49026655 61362394 68310019 98053310 122724788 136620038 153405985 196106620 273240076 306811970 341550095 613623940 683100190 951117107 1366200380 1902234214 3804468428 4755585535 7185409817 9511171070 14370819634 19022342140 28741639268 35927049085 71854098170 143708196340 222747704327 445495408654 696984752249 890990817308 1113738521635 1393969504498 2227477043270 2787939008996 3484923761245 4454954086540 6969847522490 13939695044980 21606527319719 43213054639438 86426109278876 108032636598595 216065273197190 432130546394380