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20064719761956 = 22327465612
BaseRepresentation
bin1001000111111101011100…
…11111100111001000100100
32122001011112211010001122100
410203332232133213020210
510112220021224340311
6110401334403132100
74140425313642342
oct443765637471044
978034484101570
1020064719761956
116436444246111
122300816074030
13b2713080097c
144d51cd8a4992
1524bde1b36a56
hex123fae7e7224

20064719761956 has 27 divisors (see below), whose sum is σ = 50719220668753. Its totient is φ = 6688230961920.

The previous prime is 20064719761921. The next prime is 20064719761979. The reversal of 20064719761956 is 65916791746002.

The square root of 20064719761956 is 4479366.

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

20064719761956 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 4 + 7 + 1 + 9 + 7 + 619 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16554043019556 + 3510676742400 = 4068666^2 + 1873680^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20064719761893 and 20064719761902.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26502916 + ... + 27249476.

Almost surely, 220064719761956 is an apocalyptic number.

20064719761956 is the 4479366-th square number.

It is an amenable number.

20064719761956 is an abundant number, since it is smaller than the sum of its proper divisors (30654500906797).

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

20064719761956 is an frugal number, since it uses more digits than its factorization.

20064719761956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493132 (or 746566 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 20064719761956 in words is "twenty trillion, sixty-four billion, seven hundred nineteen million, seven hundred sixty-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 746561 1493122 2239683 2986244 4479366 6719049 8958732 13438098 26876196 557353326721 1114706653442 1672059980163 2229413306884 3344119960326 5016179940489 6688239920652 10032359880978 20064719761956