Search a number
-
+
2027066232256 = 261359139297083
BaseRepresentation
bin11101011111110110100…
…100000000110111000000
321011210012201201220120121
4131133312210000313000
5231202412423413011
64151115452150024
7266310406453132
oct35376644006700
97153181656517
102027066232256
1171174605177a
12288a38468314
131191c7b94810
1470179413052
1537ade296e71
hex1d7f6900dc0

2027066232256 has 112 divisors (see below), whose sum is σ = 4437008956800. Its totient is φ = 913092221952.

The previous prime is 2027066232221. The next prime is 2027066232287. The reversal of 2027066232256 is 6522326607202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6674691 + ... + 6971773.

It is an arithmetic number, because the mean of its divisors is an integer number (39616151400).

Almost surely, 22027066232256 is an apocalyptic number.

2027066232256 is a gapful number since it is divisible by the number (26) 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 2027066232256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218504478400).

2027066232256 is an abundant number, since it is smaller than the sum of its proper divisors (2409942724544).

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

2027066232256 is a wasteful number, since it uses less digits than its factorization.

2027066232256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297306 (or 297296 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 2027066232256 in words is "two trillion, twenty-seven billion, sixty-six million, two hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 139 208 236 278 416 472 556 767 832 944 1112 1534 1807 1888 2224 3068 3614 3776 4448 6136 7228 8201 8896 12272 14456 16402 24544 28912 32804 49088 57824 65608 106613 115648 131216 213226 262432 297083 426452 524864 594166 852904 1188332 1705808 2376664 3411616 3862079 4753328 6823232 7724158 9506656 15448316 17527897 19013312 30896632 35055794 41294537 61793264 70111588 82589074 123586528 140223176 165178148 227862661 247173056 280446352 330356296 455725322 536828981 560892704 660712592 911450644 1073657962 1121785408 1321425184 1822901288 2147315924 2436377683 2642850368 3645802576 4294631848 4872755366 7291605152 8589263696 9745510732 14583210304 17178527392 19491021464 31672909879 34357054784 38982042928 63345819758 77964085856 126691639516 155928171712 253383279032 506766558064 1013533116128 2027066232256