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20363865617956 = 227297233232
BaseRepresentation
bin1001010000101010101001…
…11110011111011000100100
32200002202200210211002002111
410220111110332133120210
510132120144044233311
6111151010345050404
74201145400524200
oct450252476373044
980082623732074
1020363865617956
1165412a3290383
12234a7a1486a04
13b493c56a0013
1450588b3c5b00
15254a9e325d21
hex128554f9f624

20363865617956 has 81 divisors (see below), whose sum is σ = 41899398205329. Its totient is φ = 8634798805248.

The previous prime is 20363865617939. The next prime is 20363865617957. The reversal of 20363865617956 is 65971656836302.

The square root of 20363865617956 is 4512634.

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

It can be written as a sum of positive squares in only one way, i.e., 9144152644900 + 11219712973056 = 3023930^2 + 3349584^2 .

It is a super-3 number, since 3×203638656179563 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20363865617891 and 20363865617900.

It is not an unprimeable number, because it can be changed into a prime (20363865617957) 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, 6128155311 + ... + 6128158633.

Almost surely, 220363865617956 is an apocalyptic number.

20363865617956 is the 4512634-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20363865617956

20363865617956 is an abundant number, since it is smaller than the sum of its proper divisors (21535532587373).

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

20363865617956 is an frugal number, since it uses more digits than its factorization.

20363865617956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6858 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 67.

The spelling of 20363865617956 in words is "twenty trillion, three hundred sixty-three billion, eight hundred sixty-five million, six hundred seventeen thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 97 98 194 196 388 679 1358 2716 3323 4753 6646 9409 9506 13292 18818 19012 23261 37636 46522 65863 93044 131726 162827 263452 322331 325654 461041 644662 651308 922082 1289324 1844164 2256317 4512634 9025268 11042329 15794219 22084658 31266107 31588438 44169316 62532214 63176876 77296303 125064428 154592606 218862749 309185212 437725498 541074121 875450996 1071105913 1082148242 1532039243 2142211826 2164296484 3064078486 4284423652 6128156972 7497741391 14995482782 29990965564 52484189737 103897273561 104968379474 207794547122 209936758948 415589094244 727280914927 1454561829854 2909123659708 5090966404489 10181932808978 20363865617956