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66248299728 = 243213103343583
BaseRepresentation
bin111101101100101101…
…001101010011010000
320022222221212022121200
4331230231031103100
52041134031042403
650233430551200
74533460153662
oct755455152320
9208887768550
1066248299728
1126106490136
1210a0a508500
13632a0c1770
1432c6658532
151acb085ca3
hexf6cb4d4d0

66248299728 has 120 divisors (see below), whose sum is σ = 201604096512. Its totient is φ = 20186129664.

The previous prime is 66248299709. The next prime is 66248299729. The reversal of 66248299728 is 82799284266.

66248299728 is a `hidden beast` number, since 6 + 62 + 482 + 9 + 97 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66248299729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21025 + ... + 364607.

Almost surely, 266248299728 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 66248299728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100802048256).

66248299728 is an abundant number, since it is smaller than the sum of its proper divisors (135355796784).

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

66248299728 is a wasteful number, since it uses less digits than its factorization.

66248299728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343713 (or 343704 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 66248299728 in words is "sixty-six billion, two hundred forty-eight million, two hundred ninety-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 103 104 117 144 156 206 208 234 309 312 412 468 618 624 824 927 936 1236 1339 1648 1854 1872 2472 2678 3708 4017 4944 5356 7416 8034 10712 12051 14832 16068 21424 24102 32136 48204 64272 96408 192816 343583 687166 1030749 1374332 2061498 2748664 3092247 4122996 4466579 5497328 6184494 8245992 8933158 12368988 13399737 16491984 17866316 24737976 26799474 35389049 35732632 40199211 49475952 53598948 70778098 71465264 80398422 106167147 107197896 141556196 160796844 212334294 214395792 283112392 318501441 321593688 424668588 460057637 566224784 637002882 643187376 849337176 920115274 1274005764 1380172911 1698674352 1840230548 2548011528 2760345822 3680461096 4140518733 5096023056 5520691644 7360922192 8281037466 11041383288 16562074932 22082766576 33124149864 66248299728