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53466205600 = 2552199335843
BaseRepresentation
bin110001110010110101…
…011000110110100000
312010000011002122211001
4301302311120312200
51333444322034400
640321222201344
73601641151303
oct616265306640
9163004078731
1053466205600
1120747308685
12a441883254
135070c06262
142832c12b3a
1515cdd28a6a
hexc72d58da0

53466205600 has 72 divisors (see below), whose sum is σ = 131180666400. Its totient is φ = 21278949120.

The previous prime is 53466205591. The next prime is 53466205601. The reversal of 53466205600 is 650266435.

It is a super-2 number, since 2×534662056002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53466205600.

It is not an unprimeable number, because it can be changed into a prime (53466205601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8722 + ... + 327121.

It is an arithmetic number, because the mean of its divisors is an integer number (1821953700).

Almost surely, 253466205600 is an apocalyptic number.

53466205600 is a gapful number since it is divisible by the number (50) 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 53466205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65590333200).

53466205600 is an abundant number, since it is smaller than the sum of its proper divisors (77714460800).

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

53466205600 is a wasteful number, since it uses less digits than its factorization.

53466205600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336062 (or 336049 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 53466205600 in words is "fifty-three billion, four hundred sixty-six million, two hundred five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 199 200 398 400 796 800 995 1592 1990 3184 3980 4975 6368 7960 9950 15920 19900 31840 39800 79600 159200 335843 671686 1343372 1679215 2686744 3358430 5373488 6716860 8396075 10746976 13433720 16792150 26867440 33584300 53734880 66832757 67168600 133665514 134337200 267331028 268674400 334163785 534662056 668327570 1069324112 1336655140 1670818925 2138648224 2673310280 3341637850 5346620560 6683275700 10693241120 13366551400 26733102800 53466205600