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20336768208 = 24323719319777
BaseRepresentation
bin10010111100001010…
…100111010011010000
31221111022012212101100
4102330022213103100
5313122203040313
613201555304400
71316651451261
oct227412472320
957438185340
1020336768208
118696636a59
123b368ab100
131bc13aa273
14dacd0a968
157e05de173
hex4bc2a74d0

20336768208 has 120 divisors (see below), whose sum is σ = 58758776648. Its totient is φ = 6561202176.

The previous prime is 20336768203. The next prime is 20336768213. The reversal of 20336768208 is 80286763302.

20336768208 is a `hidden beast` number, since 20 + 3 + 367 + 68 + 208 = 666.

It is an interprime number because it is at equal distance from previous prime (20336768203) and next prime (20336768213).

It can be written as a sum of positive squares in 4 ways, for example, as 4138606224 + 16198161984 = 64332^2 + 127272^2 .

It is a super-2 number, since 2×203367682082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20336768203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018416 + ... + 1038192.

Almost surely, 220336768208 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 20336768208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29379388324).

20336768208 is an abundant number, since it is smaller than the sum of its proper divisors (38422008440).

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

20336768208 is a wasteful number, since it uses less digits than its factorization.

20336768208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20021 (or 20012 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

It can be divided in two parts, 20336 and 768208, that added together give a square (788544 = 8882).

The spelling of 20336768208 in words is "twenty billion, three hundred thirty-six million, seven hundred sixty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 193 222 296 333 386 444 579 592 666 772 888 1158 1332 1544 1737 1776 2316 2664 3088 3474 4632 5328 6948 7141 9264 13896 14282 19777 21423 27792 28564 39554 42846 57128 59331 64269 79108 85692 114256 118662 128538 158216 171384 177993 237324 257076 316432 342768 355986 474648 514152 711972 731749 949296 1028304 1423944 1463498 2195247 2847888 2926996 3816961 4390494 5853992 6585741 7633922 8780988 11450883 11707984 13171482 15267844 17561976 22901766 26342964 30535688 34352649 35123952 45803532 52685928 61071376 68705298 91607064 105371856 137410596 141227557 183214128 274821192 282455114 423682671 549642384 564910228 847365342 1129820456 1271048013 1694730684 2259640912 2542096026 3389461368 5084192052 6778922736 10168384104 20336768208