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2026120656 = 243717431823
BaseRepresentation
bin111100011000100…
…0010010111010000
312020012111121000210
41320301002113100
513122141330111
6533014444120
7101131512210
oct17061022720
95205447023
102026120656
1194a76848a
12486663640
132639c1681
14153138240
15bcd220a6
hex78c425d0

2026120656 has 160 divisors (see below), whose sum is σ = 6356164608. Its totient is φ = 542914560.

The previous prime is 2026120637. The next prime is 2026120687. The reversal of 2026120656 is 6560216202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2461461 + ... + 2462283.

Almost surely, 22026120656 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 2026120656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178082304).

2026120656 is an abundant number, since it is smaller than the sum of its proper divisors (4330043952).

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

2026120656 is a wasteful number, since it uses less digits than its factorization.

2026120656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2026120656 is about 45012.4500110803. The cubic root of 2026120656 is about 1265.3823371057.

Adding to 2026120656 its reverse (6560216202), we get a palindrome (8586336858).

The spelling of 2026120656 in words is "two billion, twenty-six million, one hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 431 476 714 816 823 862 952 1293 1428 1646 1724 1904 2469 2586 2856 3017 3292 3448 4938 5172 5712 5761 6034 6584 6896 7327 9051 9876 10344 11522 12068 13168 13991 14654 17283 18102 19752 20688 21981 23044 24136 27982 29308 34566 36204 39504 41973 43962 46088 48272 51289 55964 58616 69132 72408 83946 87924 92176 97937 102578 111928 117232 138264 144816 153867 167892 175848 195874 205156 223856 276528 293811 307734 335784 351696 354713 391748 410312 587622 615468 671568 709426 783496 820624 1064139 1175244 1230936 1418852 1566992 2128278 2350488 2461872 2482991 2837704 4256556 4700976 4965982 5675408 6030121 7448973 8513112 9931964 12060242 14897946 17026224 18090363 19863928 24120484 29795892 36180726 39727856 42210847 48240968 59591784 72361452 84421694 96481936 119183568 126632541 144722904 168843388 253265082 289445808 337686776 506530164 675373552 1013060328 2026120656