Search a number
-
+
20640688068 = 223721113245477
BaseRepresentation
bin10011001110010001…
…111110011111000100
31222021111002121001110
4103032101332133010
5314233004004233
613252053325020
71330331645100
oct231621763704
958244077043
1020640688068
1188321484a0
124000636770
131c3c34b2c0
14ddb420900
1580c124663
hex4ce47e7c4

20640688068 has 144 divisors (see below), whose sum is σ = 65819525184. Its totient is φ = 4948796160.

The previous prime is 20640688051. The next prime is 20640688093. The reversal of 20640688068 is 86088604602.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38655 + ... + 206822.

It is an arithmetic number, because the mean of its divisors is an integer number (457080036).

Almost surely, 220640688068 is an apocalyptic number.

20640688068 is a gapful number since it is divisible by the number (28) 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 20640688068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32909762592).

20640688068 is an abundant number, since it is smaller than the sum of its proper divisors (45178837116).

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

20640688068 is a wasteful number, since it uses less digits than its factorization.

20640688068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245522 (or 245513 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 20640688068 in words is "twenty billion, six hundred forty million, six hundred eighty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 66 77 78 84 91 98 132 143 147 154 156 182 196 231 273 286 294 308 364 429 462 539 546 572 588 637 858 924 1001 1078 1092 1274 1617 1716 1911 2002 2156 2548 3003 3234 3822 4004 6006 6468 7007 7644 12012 14014 21021 28028 42042 84084 245477 490954 736431 981908 1472862 1718339 2700247 2945724 3191201 3436678 5155017 5400494 6382402 6873356 8100741 9573603 10310034 10800988 12028373 12764804 16201482 18901729 19147206 20620068 22338407 24056746 32402964 35103211 36085119 37803458 38294412 44676814 48113492 56705187 67015221 70206422 72170238 75606916 89353628 105309633 113410374 132312103 134030442 140412844 144340476 156368849 210619266 226820748 245722477 264624206 268060884 312737698 396936309 421238532 469106547 491444954 529248412 625475396 737167431 793872618 938213094 982889908 1474334862 1587745236 1720057339 1876426188 2948669724 3440114678 5160172017 6880229356 10320344034 20640688068