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66525242643540 = 223252960121205157
BaseRepresentation
bin11110010000001000111010…
…11101001101010001010100
322201112202021112121221021200
433020010131131031101110
532204422144104043130
6353253135150112500
720004201346313232
oct1710043535152124
9281482245557250
1066525242643540
111a21921918772a
1275650551ab730
132b173c392a705
14125dba6015952
157a571a7c0760
hex3c811d74d454

66525242643540 has 144 divisors (see below), whose sum is σ = 209098973800080. Its totient is φ = 17099837798400.

The previous prime is 66525242643529. The next prime is 66525242643577. The reversal of 66525242643540 is 4534624252566.

66525242643540 is a `hidden beast` number, since 6 + 6 + 5 + 2 + 5 + 24 + 264 + 354 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 554232603024 + 65971010040516 = 744468^2 + 8122254^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7465359 + ... + 13739798.

It is an arithmetic number, because the mean of its divisors is an integer number (1452076206945).

Almost surely, 266525242643540 is an apocalyptic number.

66525242643540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66525242643540 is an abundant number, since it is smaller than the sum of its proper divisors (142573731156540).

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

66525242643540 is a wasteful number, since it uses less digits than its factorization.

66525242643540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21205802 (or 21205797 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 54.

The spelling of 66525242643540 in words is "sixty-six trillion, five hundred twenty-five billion, two hundred forty-two million, six hundred forty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 601 870 1044 1202 1305 1740 1803 2404 2610 3005 3606 5220 5409 6010 7212 9015 10818 12020 17429 18030 21636 27045 34858 36060 52287 54090 69716 87145 104574 108180 156861 174290 209148 261435 313722 348580 522870 627444 784305 1045740 1568610 3137220 21205157 42410314 63615471 84820628 106025785 127230942 190846413 212051570 254461884 318077355 381692826 424103140 614949553 636154710 763385652 954232065 1229899106 1272309420 1844848659 1908464130 2459798212 3074747765 3689697318 3816928260 5534545977 6149495530 7379394636 9224243295 11069091954 12298991060 12744299357 18448486590 22138183908 25488598714 27672729885 36896973180 38232898071 50977197428 55345459770 63721496785 76465796142 110690919540 114698694213 127442993570 152931592284 191164490355 229397388426 254885987140 369584681353 382328980710 458794776852 573493471065 739169362706 764657961420 1108754044059 1146986942130 1478338725412 1847923406765 2217508088118 2293973884260 3326262132177 3695846813530 4435016176236 5543770220295 6652524264354 7391693627060 11087540440590 13305048528708 16631310660885 22175080881180 33262621321770 66525242643540