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20988410478721 = 72167239192
BaseRepresentation
bin1001100010110101111101…
…10000000100000010000001
32202022110202102011020201221
410301122332300010002001
510222333231040304341
6112345535340555041
74264235243331100
oct461327660040201
982273672136657
1020988410478721
116762153604074
12242b840252a81
13b93277487a7a
14527bb73b8037
15265e53e0eed1
hex1316bec04081

20988410478721 has 27 divisors (see below), whose sum is σ = 24568432376769. Its totient is φ = 17877778192008.

The previous prime is 20988410478647. The next prime is 20988410478769. The reversal of 20988410478721 is 12787401488902.

The square root of 20988410478721 is 4581311.

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

It is not a de Polignac number, because 20988410478721 - 213 = 20988410470529 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20988410478721.

It is not an unprimeable number, because it can be changed into a prime (20988410478421) 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 26 ways as a sum of consecutive naturals, for example, 5355550600 + ... + 5355554518.

Almost surely, 220988410478721 is an apocalyptic number.

20988410478721 is the 4581311-st square number.

20988410478721 is the 2290656-th centered octagonal number.

It is an amenable number.

20988410478721 is a deficient number, since it is larger than the sum of its proper divisors (3580021898048).

20988410478721 is an frugal number, since it uses more digits than its factorization.

20988410478721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8186 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 61.

The spelling of 20988410478721 in words is "twenty trillion, nine hundred eighty-eight billion, four hundred ten million, four hundred seventy-eight thousand, seven hundred twenty-one".

Divisors: 1 7 49 167 1169 3919 8183 27433 27889 192031 195223 654473 1366561 4581311 15358561 32069177 107509927 109296991 752569489 765078937 2564879687 5355552559 17954157809 125679104663 428334907729 2998344354103 20988410478721