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2163027456 = 2933236803
BaseRepresentation
bin1000000011101101…
…0010111000000000
312120202010011212000
42000323102320000
513412213334311
6554345104000
7104413300332
oct20073227000
95522104760
102163027456
11a0aa775a7
12504488000
13286187b05
141673b5452
15c9d67056
hex80ed2e00

2163027456 has 160 divisors (see below), whose sum is σ = 6682072320. Its totient is φ = 689559552.

The previous prime is 2163027443. The next prime is 2163027463. The reversal of 2163027456 is 6547203612.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2163027456.

It is a congruent number.

It is an unprimeable number.

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, 314551 + ... + 321353.

It is an arithmetic number, because the mean of its divisors is an integer number (41762952).

Almost surely, 22163027456 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 2163027456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341036160).

2163027456 is an abundant number, since it is smaller than the sum of its proper divisors (4519044864).

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

2163027456 is an equidigital number, since it uses as much as digits as its factorization.

2163027456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853 (or 6831 counting only the distinct ones).

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

The square root of 2163027456 is about 46508.3589906159. The cubic root of 2163027456 is about 1293.2644632143.

The spelling of 2163027456 in words is "two billion, one hundred sixty-three million, twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 512 552 576 621 736 768 828 864 1104 1152 1242 1472 1536 1656 1728 2208 2304 2484 2944 3312 3456 4416 4608 4968 5888 6624 6803 6912 8832 9936 11776 13248 13606 13824 17664 19872 20409 26496 27212 35328 39744 40818 52992 54424 61227 79488 81636 105984 108848 122454 156469 158976 163272 183681 217696 244908 312938 317952 326544 367362 435392 469407 489816 625876 653088 734724 870784 938814 979632 1251752 1306176 1408221 1469448 1741568 1877628 1959264 2503504 2612352 2816442 2938896 3483136 3755256 3918528 4224663 5007008 5224704 5632884 5877792 7510512 7837056 8449326 10014016 10449408 11265768 11755584 15021024 15674112 16898652 20028032 22531536 23511168 30042048 31348224 33797304 40056064 45063072 47022336 60084096 67594608 80112128 90126144 94044672 120168192 135189216 180252288 240336384 270378432 360504576 540756864 721009152 1081513728 2163027456