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66141100300 = 225211275321841
BaseRepresentation
bin111101100110010100…
…010001100100001100
320022201111011000122111
4331212110101210030
52040424110202200
650215041153404
74531016035132
oct754624214414
9208644130574
1066141100300
1126060a21670
121099a62b864
136310b2a052
1432b6311752
151ac195d0ba
hexf6651190c

66141100300 has 72 divisors (see below), whose sum is σ = 156638068272. Its totient is φ = 24041472000.

The previous prime is 66141100283. The next prime is 66141100307. The reversal of 66141100300 is 300114166.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (66141100307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3017380 + ... + 3039220.

It is an arithmetic number, because the mean of its divisors is an integer number (2175528726).

Almost surely, 266141100300 is an apocalyptic number.

It is an amenable number.

66141100300 is an abundant number, since it is smaller than the sum of its proper divisors (90496967972).

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

66141100300 is a wasteful number, since it uses less digits than its factorization.

66141100300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24619 (or 24612 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 66141100300 its reverse (300114166), we get a palindrome (66441214466).

The spelling of 66141100300 in words is "sixty-six billion, one hundred forty-one million, one hundred thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2753 5506 11012 13765 21841 27530 30283 43682 55060 60566 68825 87364 109205 121132 137650 151415 218410 240251 275300 302830 436820 480502 546025 605660 757075 961004 1092050 1201255 1514150 2184100 2402510 3028300 4805020 6006275 12012550 24025100 60128273 120256546 240513092 300641365 601282730 661411003 1202565460 1322822006 1503206825 2645644012 3006413650 3307055015 6012827300 6614110030 13228220060 16535275075 33070550150 66141100300