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20711815056 = 24326721792
BaseRepresentation
bin10011010010100001…
…010011011110010000
31222110102221012221100
4103102201103132100
5314404211040211
613303114024400
71332154344312
oct232241233620
958412835840
1020711815056
118869309229
124020418100
131c50cc2a8a
141006a577b2
158134c4156
hex4d2853790

20711815056 has 135 divisors (see below), whose sum is σ = 59172932091. Its totient is φ = 6762900672.

The previous prime is 20711815043. The next prime is 20711815057. The reversal of 20711815056 is 65051811702.

20711815056 = 13 + 23 + ... + 5363.

The square root of 20711815056 is 143916.

It is a perfect power (a square), and thus also a powerful number.

20711815056 is a `hidden beast` number, since 2 + 0 + 71 + 1 + 81 + 505 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20711815056.

It is not an unprimeable number, because it can be changed into a prime (20711815057) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 115708375 + ... + 115708553.

Almost surely, 220711815056 is an apocalyptic number.

20711815056 is the 143916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20711815056

20711815056 is an abundant number, since it is smaller than the sum of its proper divisors (38461117035).

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

20711815056 is an equidigital number, since it uses as much as digits as its factorization.

20711815056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

Multiplying 20711815056 by its sum of digits (36), we get a square (745625342016 = 8634962).

20711815056 divided by its sum of digits (36) gives a square (575328196 = 239862).

The spelling of 20711815056 in words is "twenty billion, seven hundred eleven million, eight hundred fifteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 179 201 268 358 402 536 537 603 716 804 1072 1074 1206 1432 1608 1611 2148 2412 2864 3216 3222 4296 4489 4824 6444 8592 8978 9648 11993 12888 13467 17956 23986 25776 26934 32041 35912 35979 40401 47972 53868 64082 71824 71958 80802 95944 96123 107736 107937 128164 143916 161604 191888 192246 215472 215874 256328 287832 288369 323208 384492 431748 512656 575664 576738 646416 768984 803531 863496 1153476 1537968 1607062 1726992 2146747 2306952 2410593 3214124 4293494 4613904 4821186 6428248 6440241 7231779 8586988 9642372 12856496 12880482 14463558 17173976 19284744 19320723 25760964 28927116 34347952 38569488 38641446 51521928 57854232 77282892 103043856 115708464 143832049 154565784 287664098 309131568 431496147 575328196 862992294 1150656392 1294488441 1725984588 2301312784 2588976882 3451969176 5177953764 6903938352 10355907528 20711815056