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213752169036 = 223272167725597
BaseRepresentation
bin1100011100010010011…
…1110100001001001100
3202102201202102020220100
43013010213310021030
512000231023402121
6242110230451100
721304656313200
oct3070447641114
9672652366810
10213752169036
118271958835a
1235515203a90
13172064979c3
14a4ba6c4b00
155860951026
hex31c49f424c

213752169036 has 108 divisors (see below), whose sum is σ = 632297706768. Its totient is φ = 60706263744.

The previous prime is 213752169023. The next prime is 213752169067. The reversal of 213752169036 is 630961257312.

213752169036 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 521 + 6 + 90 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 213752168982 and 213752169000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68211 + ... + 657386.

It is an arithmetic number, because the mean of its divisors is an integer number (5854608396).

Almost surely, 2213752169036 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 213752169036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316148853384).

213752169036 is an abundant number, since it is smaller than the sum of its proper divisors (418545537732).

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

213752169036 is a wasteful number, since it uses less digits than its factorization.

213752169036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725788 (or 725776 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 213752169036 in words is "two hundred thirteen billion, seven hundred fifty-two million, one hundred sixty-nine thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 167 196 252 294 334 441 501 588 668 882 1002 1169 1503 1764 2004 2338 3006 3507 4676 6012 7014 8183 10521 14028 16366 21042 24549 32732 42084 49098 73647 98196 147294 294588 725597 1451194 2176791 2902388 4353582 5079179 6530373 8707164 10158358 13060746 15237537 20316716 26121492 30475074 35554253 45712611 60950148 71108506 91425222 106662759 121174699 142217012 182850444 213325518 242349398 319988277 363524097 426651036 484698796 639976554 727048194 848222893 1090572291 1279953108 1454096388 1696445786 2181144582 2544668679 3392891572 4362289164 5089337358 5937560251 7634006037 10178674716 11875120502 15268012074 17812680753 23750241004 30536024148 35625361506 53438042259 71250723012 106876084518 213752169036