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2088348768 = 2532115871123
BaseRepresentation
bin111110001111001…
…1010110001100000
312101112121002221200
41330132122301200
513234104130033
6543120321200
7102515446242
oct17436326140
95345532850
102088348768
11981900380
124a3473200
1327386b83c
1415b4d6092
15c3515013
hex7c79ac60

2088348768 has 144 divisors (see below), whose sum is σ = 6495443136. Its totient is φ = 631192320.

The previous prime is 2088348751. The next prime is 2088348781. The reversal of 2088348768 is 8678438802.

2088348768 is a `hidden beast` number, since 20 + 8 + 83 + 487 + 68 = 666.

2088348768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×20883487682 = 8722401153614235648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1859055 + ... + 1860177.

It is an arithmetic number, because the mean of its divisors is an integer number (45107244).

Almost surely, 22088348768 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 2088348768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247721568).

2088348768 is an abundant number, since it is smaller than the sum of its proper divisors (4407094368).

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

2088348768 is a wasteful number, since it uses less digits than its factorization.

2088348768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 2088348768 is about 45698.4547659984. The cubic root of 2088348768 is about 1278.2064659412.

The spelling of 2088348768 in words is "two billion, eighty-eight million, three hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 587 792 1056 1123 1174 1584 1761 2246 2348 3168 3369 3522 4492 4696 5283 6457 6738 7044 8984 9392 10107 10566 12353 12914 13476 14088 17968 18784 19371 20214 21132 24706 25828 26952 28176 35936 37059 38742 40428 42264 49412 51656 53904 56352 58113 74118 77484 80856 84528 98824 103312 107808 111177 116226 148236 154968 161712 169056 197648 206624 222354 232452 296472 309936 323424 395296 444708 464904 592944 619872 659201 889416 929808 1185888 1318402 1778832 1859616 1977603 2636804 3557664 3955206 5273608 5932809 7251211 7910412 10547216 11865618 14502422 15820824 21094432 21753633 23731236 29004844 31641648 43507266 47462472 58009688 63283296 65260899 87014532 94924944 116019376 130521798 174029064 189849888 232038752 261043596 348058128 522087192 696116256 1044174384 2088348768