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2163795328 = 2729593983
BaseRepresentation
bin1000000011111000…
…1110010110000000
312120210120012011201
42000332032112000
513412412422303
6554413350544
7104422646122
oct20076162600
95523505151
102163795328
11a10451502
12504798454
13286396486
14167535212
15c9e6981d
hex80f8e580

2163795328 has 64 divisors (see below), whose sum is σ = 4471394400. Its totient is φ = 1041768448.

The previous prime is 2163795317. The next prime is 2163795341. The reversal of 2163795328 is 8235973612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×21637953283 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2200725 + ... + 2201707.

Almost surely, 22163795328 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 2163795328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235697200).

2163795328 is an abundant number, since it is smaller than the sum of its proper divisors (2307599072).

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

2163795328 is an equidigital number, since it uses as much as digits as its factorization.

2163795328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1607 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The square root of 2163795328 is about 46516.6134622889. The cubic root of 2163795328 is about 1293.4174808561.

The spelling of 2163795328 in words is "two billion, one hundred sixty-three million, seven hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 593 928 983 1186 1856 1966 2372 3712 3932 4744 7864 9488 15728 17197 18976 28507 31456 34394 37952 57014 62912 68788 75904 114028 125824 137576 228056 275152 456112 550304 582919 912224 1100608 1165838 1824448 2201216 2331676 3648896 4663352 9326704 16904651 18653408 33809302 37306816 67618604 74613632 135237208 270474416 540948832 1081897664 2163795328