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20379906676921 = 1124104012
BaseRepresentation
bin1001010001001000100010…
…00110010001100010111001
32200011022002201220022012111
410220210101012101202321
510132401022102130141
6111202222212412321
74202254041343021
oct450442106214271
980138081808174
1020379906676921
11654808501a400
1223519196170a1
13b4aa80b00a9c
1450656d9a4a81
152551dc72c381
hex1289111918b9

20379906676921 has 9 divisors (see below), whose sum is σ = 22401109029999. Its totient is φ = 18527142744000.

The previous prime is 20379906676903. The next prime is 20379906676973. The reversal of 20379906676921 is 12967660997302.

The square root of 20379906676921 is 4514411.

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., 16417577563321 + 3962329113600 = 4051861^2 + 1990560^2 .

It is not a de Polignac number, because 20379906676921 - 225 = 20379873122489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20379906676621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49453321 + ... + 49863721.

Almost surely, 220379906676921 is an apocalyptic number.

20379906676921 is the 4514411-st square number.

20379906676921 is the 2257206-th centered octagonal number.

It is an amenable number.

20379906676921 is a deficient number, since it is larger than the sum of its proper divisors (2021202353078).

20379906676921 is an frugal number, since it uses more digits than its factorization.

20379906676921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820824 (or 410412 counting only the distinct ones).

The product of its (nonzero) digits is 92588832, while the sum is 67.

The spelling of 20379906676921 in words is "twenty trillion, three hundred seventy-nine billion, nine hundred six million, six hundred seventy-six thousand, nine hundred twenty-one".

Divisors: 1 11 121 410401 4514411 49658521 168428980801 1852718788811 20379906676921