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20865679956 = 22321127696229
BaseRepresentation
bin10011011011101100…
…010000001001010100
31222212011110100220100
4103123230100021110
5320213103224311
613330251534100
71336033232112
oct233354201124
958764410810
1020865679956
118938150200
124063a5a330
131c76b45bb4
14101d26aab2
15821c68a56
hex4dbb10254

20865679956 has 108 divisors (see below), whose sum is σ = 58059301300. Its totient is φ = 6313697280.

The previous prime is 20865679931. The next prime is 20865679957. The reversal of 20865679956 is 65997656802.

It can be written as a sum of positive squares in 2 ways, for example, as 9348956100 + 11516723856 = 96690^2 + 107316^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20865679893 and 20865679902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20865679957) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3346650 + ... + 3352878.

Almost surely, 220865679956 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 20865679956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29029650650).

20865679956 is an abundant number, since it is smaller than the sum of its proper divisors (37193621344).

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

20865679956 is a wasteful number, since it uses less digits than its factorization.

20865679956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 20865679956 in words is "twenty billion, eight hundred sixty-five million, six hundred seventy-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 769 1089 1452 1538 2178 2307 3076 4356 4614 6229 6921 8459 9228 12458 13842 16918 18687 24916 25377 27684 33836 37374 50754 56061 68519 74748 76131 93049 101508 112122 137038 152262 186098 205557 224244 274076 279147 304524 372196 411114 558294 616671 753709 822228 837441 1116588 1233342 1507418 1674882 2261127 2466684 3014836 3349764 4522254 4790101 6783381 9044508 9580202 13566762 14370303 19160404 27133524 28740606 43110909 52691111 57481212 86221818 105382222 158073333 172443636 210764444 316146666 474219999 579602221 632293332 948439998 1159204442 1738806663 1896879996 2318408884 3477613326 5216419989 6955226652 10432839978 20865679956