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20631026695321 = 72109259532
BaseRepresentation
bin1001011000011100010010…
…00001000111110010011001
32201001022021201111222201201
410230032021001013302121
510201004320313222241
6111513432434114201
74226354034312400
oct454161101076231
981038251458651
1020631026695321
1166346297a0a99
12239252111b961
13b68660c2c253
14514793046637
1525b9d8a33931
hex12c389047c99

20631026695321 has 27 divisors (see below), whose sum is σ = 24225624636381. Its totient is φ = 17518557740544.

The previous prime is 20631026695303. The next prime is 20631026695327. The reversal of 20631026695321 is 12359662013602.

The square root of 20631026695321 is 4542139.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4590713334025 + 16040313361296 = 2142595^2 + 4005036^2 .

It is not a de Polignac number, because 20631026695321 - 25 = 20631026695289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20631026695327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3465649081 + ... + 3465655033.

It is an arithmetic number, because the mean of its divisors is an integer number (897245356903).

Almost surely, 220631026695321 is an apocalyptic number.

20631026695321 is the 4542139-th square number.

20631026695321 is the 2271070-th centered octagonal number.

It is an amenable number.

20631026695321 is a deficient number, since it is larger than the sum of its proper divisors (3594597941060).

20631026695321 is an frugal number, since it uses more digits than its factorization.

20631026695321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12138 (or 6069 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The spelling of 20631026695321 in words is "twenty trillion, six hundred thirty-one billion, twenty-six million, six hundred ninety-five thousand, three hundred twenty-one".

Divisors: 1 7 49 109 763 5341 5953 11881 41671 83167 291697 582169 648877 4542139 31794973 35438209 70727593 248067463 495093151 1736472241 3465652057 3862764781 27039353467 189275474269 421041361129 2947289527903 20631026695321