Search a number
-
+
66704542545500 = 2253296437154453
BaseRepresentation
bin11110010101010110111001…
…00100000011011001011100
322202011220002021000200120022
433022223130210003121130
532220341400342424000
6353511351021211312
720023146514323206
oct1712533444033134
9282156067020508
1066704542545500
111a288268312892
127593954400b38
132b2b2994ca062
141268734c4d776
157aa2117d7585
hex3caadc90365c

66704542545500 has 96 divisors (see below), whose sum is σ = 150940663997760. Its totient is φ = 25721685830400.

The previous prime is 66704542545493. The next prime is 66704542545539. The reversal of 66704542545500 is 554524540766.

66704542545500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5746274 + ... + 12900726.

It is an arithmetic number, because the mean of its divisors is an integer number (1572298583310).

Almost surely, 266704542545500 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 66704542545500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75470331998880).

66704542545500 is an abundant number, since it is smaller than the sum of its proper divisors (84236121452260).

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

66704542545500 is a wasteful number, since it uses less digits than its factorization.

66704542545500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7155144 (or 7155132 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 53.

The spelling of 66704542545500 in words is "sixty-six trillion, seven hundred four billion, five hundred forty-two million, five hundred forty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 643 725 1286 1450 2572 2900 3215 3625 6430 7250 12860 14500 16075 18647 32150 37294 64300 74588 80375 93235 160750 186470 321500 372940 466175 932350 1864700 2330875 4661750 7154453 9323500 14308906 28617812 35772265 71544530 143089060 178861325 207479137 357722650 414958274 715445300 829916548 894306625 1037395685 1788613250 2074791370 3577226500 4149582740 4600313279 5186978425 9200626558 10373956850 18401253116 20747913700 23001566395 25934892125 46003132790 51869784250 92006265580 103739568500 115007831975 133409085091 230015663950 266818170182 460031327900 533636340364 575039159875 667045425455 1150078319750 1334090850910 2300156639500 2668181701820 3335227127275 6670454254550 13340908509100 16676135636375 33352271272750 66704542545500