Search a number
-
+
2163065472 = 27377727
BaseRepresentation
bin1000000011101101…
…1100001010000000
312120202012010000000
42000323130022000
513412221043342
6554350000000
7104413516221
oct20073341200
95522163000
102163065472
11a0aaa3117
125044a6000
1328619c1c9
141673c5248
15c9d7344c
hex80edc280

2163065472 has 128 divisors (see below), whose sum is σ = 6463699200. Its totient is φ = 720928512.

The previous prime is 2163065461. The next prime is 2163065477. The reversal of 2163065472 is 2745603612.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2163065477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276073 + ... + 283799.

It is an arithmetic number, because the mean of its divisors is an integer number (50497650).

Almost surely, 22163065472 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 2163065472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231849600).

2163065472 is an abundant number, since it is smaller than the sum of its proper divisors (4300633728).

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

2163065472 is an frugal number, since it uses more digits than its factorization.

2163065472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762 (or 7732 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2163065472 is about 46508.7676895443. The cubic root of 2163065472 is about 1293.2720397022.

The spelling of 2163065472 in words is "two billion, one hundred sixty-three million, sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2187 2592 2916 3456 3888 4374 5184 5832 7727 7776 8748 10368 11664 15454 15552 17496 23181 23328 30908 31104 34992 46362 46656 61816 69543 69984 92724 93312 123632 139086 139968 185448 208629 247264 278172 279936 370896 417258 494528 556344 625887 741792 834516 989056 1112688 1251774 1483584 1669032 1877661 2225376 2503548 2967168 3338064 3755322 4450752 5007096 5632983 6676128 7510644 8901504 10014192 11265966 13352256 15021288 16898949 20028384 22531932 26704512 30042576 33797898 40056768 45063864 60085152 67595796 80113536 90127728 120170304 135191592 180255456 240340608 270383184 360510912 540766368 721021824 1081532736 2163065472