Search a number
-
+
163624352041300 = 225237149296797301
BaseRepresentation
bin100101001101000011000011…
…011000010100100101010100
3210110100100001102111020202211
4211031003003120110211110
5132421310133110310200
61335555553431443204
746315316656262053
oct4515030330244524
9713310042436684
10163624352041300
114815477505a617
12164275b4526504
13703b93039a207
142c596649a039a
1513db3a17b3aba
hex94d0c3614954

163624352041300 has 72 divisors (see below), whose sum is σ = 367108582843800. Its totient is φ = 63253440576000.

The previous prime is 163624352041291. The next prime is 163624352041307. The reversal of 163624352041300 is 3140253426361.

It can be written as a sum of positive squares in 12 ways, for example, as 97667798820804 + 65956553220496 = 9882702^2 + 8121364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163624352041307) 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 23 ways as a sum of consecutive naturals, for example, 147847351 + ... + 148949950.

It is an arithmetic number, because the mean of its divisors is an integer number (5098730317275).

Almost surely, 2163624352041300 is an apocalyptic number.

163624352041300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163624352041300 is an abundant number, since it is smaller than the sum of its proper divisors (203484230802500).

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

163624352041300 is a wasteful number, since it uses less digits than its factorization.

163624352041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296797501 (or 296797494 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 163624352041300 in words is "one hundred sixty-three trillion, six hundred twenty-four billion, three hundred fifty-two million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 149 185 298 370 596 740 745 925 1490 1850 2980 3700 3725 5513 7450 11026 14900 22052 27565 55130 110260 137825 275650 551300 296797301 593594602 1187189204 1483986505 2967973010 5935946020 7419932525 10981500137 14839865050 21963000274 29679730100 43926000548 44222797849 54907500685 88445595698 109815001370 176891191396 219630002740 221113989245 274537503425 442227978490 549075006850 884455956980 1098150013700 1105569946225 1636243520413 2211139892450 3272487040826 4422279784900 6544974081652 8181217602065 16362435204130 32724870408260 40906088010325 81812176020650 163624352041300