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66215268864 = 2932103139511
BaseRepresentation
bin111101101010101111…
…001101001000000000
320022220122201011210100
4331222233031020000
52041102102100424
650230251002400
74532606333043
oct755257151000
9208818634710
1066215268864
112609987a5a8
12109bb439400
1363232c8084
1432c20dac5a
151ac820ddc9
hexf6abcd200

66215268864 has 120 divisors (see below), whose sum is σ = 192958489152. Its totient is φ = 21857310720.

The previous prime is 66215268851. The next prime is 66215268877. The reversal of 66215268864 is 46886251266.

66215268864 is a `hidden beast` number, since 6 + 621 + 5 + 2 + 6 + 8 + 8 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (66215268851) and next prime (66215268877).

It is a self number, because there is not a number n which added to its sum of digits gives 66215268864.

It is an unprimeable number.

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, 404869 + ... + 544379.

Almost surely, 266215268864 is an apocalyptic number.

66215268864 is a gapful number since it is divisible by the number (64) 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 66215268864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96479244576).

66215268864 is an abundant number, since it is smaller than the sum of its proper divisors (126743220288).

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

66215268864 is a wasteful number, since it uses less digits than its factorization.

66215268864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139638 (or 139619 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 66215268864 in words is "sixty-six billion, two hundred fifteen million, two hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 192 206 256 288 309 384 412 512 576 618 768 824 927 1152 1236 1536 1648 1854 2304 2472 3296 3708 4608 4944 6592 7416 9888 13184 14832 19776 26368 29664 39552 52736 59328 79104 118656 139511 158208 237312 279022 418533 474624 558044 837066 1116088 1255599 1674132 2232176 2511198 3348264 4464352 5022396 6696528 8928704 10044792 13393056 14369633 17857408 20089584 26786112 28739266 35714816 40179168 43108899 53572224 57478532 71429632 80358336 86217798 107144448 114957064 129326697 160716672 172435596 214288896 229914128 258653394 321433344 344871192 459828256 517306788 642866688 689742384 919656512 1034613576 1379484768 1839313024 2069227152 2758969536 3678626048 4138454304 5517939072 7357252096 8276908608 11035878144 16553817216 22071756288 33107634432 66215268864