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163434345050300 = 225229432814664129
BaseRepresentation
bin100101001010010010000110…
…000101001011000010111100
3210102200011121111211000112212
4211022102012011023002330
5132410202014313102200
61335332411314315552
746265512266432062
oct4512220605130274
9712604544730485
10163434345050300
1148091131068a45
12163b6807588bb8
137026a3c48b41c
142c5039bb42032
1513d64807bb035
hex94a48614b0bc

163434345050300 has 144 divisors (see below), whose sum is σ = 376750138010400. Its totient is φ = 61432162713600.

The previous prime is 163434345050299. The next prime is 163434345050323. The reversal of 163434345050300 is 3050543434361.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 32708636 + ... + 37372764.

It is an arithmetic number, because the mean of its divisors is an integer number (2616320402850).

Almost surely, 2163434345050300 is an apocalyptic number.

163434345050300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163434345050300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188375069005200).

163434345050300 is an abundant number, since it is smaller than the sum of its proper divisors (213315792960100).

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

163434345050300 is a wasteful number, since it uses less digits than its factorization.

163434345050300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664496 (or 4664489 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 41.

Adding to 163434345050300 its reverse (3050543434361), we get a palindrome (166484888484661).

The spelling of 163434345050300 in words is "one hundred sixty-three trillion, four hundred thirty-four billion, three hundred forty-five million, fifty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 43 50 58 86 100 116 145 172 215 281 290 430 562 580 725 860 1075 1124 1247 1405 1450 2150 2494 2810 2900 4300 4988 5620 6235 7025 8149 12083 12470 14050 16298 24166 24940 28100 31175 32596 40745 48332 60415 62350 81490 120830 124700 162980 203725 241660 302075 350407 407450 604150 700814 814900 1208300 1401628 1752035 3504070 4664129 7008140 8760175 9328258 17520350 18656516 23320645 35040700 46641290 93282580 116603225 135259741 200557547 233206450 270519482 401115094 466412900 541038964 676298705 802230188 1002787735 1310620249 1352597410 2005575470 2621240498 2705194820 3381493525 4011150940 5013938675 5242480996 5816168863 6553101245 6762987050 10027877350 11632337726 13106202490 13525974100 20055754700 23264675452 26212404980 29080844315 32765506225 38007987221 56356670707 58161688630 65531012450 76015974442 112713341414 116323377260 131062024900 145404221575 152031948884 190039936105 225426682828 281783353535 290808443150 380079872210 563566707070 581616886300 760159744420 950199680525 1127133414140 1408916767675 1634343450503 1900399361050 2817833535350 3268686901006 3800798722100 5635667070700 6537373802012 8171717252515 16343434505030 32686869010060 40858586262575 81717172525150 163434345050300