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20905689744 = 2432120492
BaseRepresentation
bin10011011110000100…
…111000001010010000
31222221221202002000100
4103132010320022100
5320303324032434
613334241252400
71340030300532
oct233604701220
958857662010
1020905689744
118958798145
124075334100
131c82214024
1410246c3852
1582551d699
hex4de138290

20905689744 has 45 divisors (see below), whose sum is σ = 58511751753. Its totient is φ = 6967984896.

The previous prime is 20905689691. The next prime is 20905689809. The reversal of 20905689744 is 44798650902.

The square root of 20905689744 is 144588.

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

20905689744 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 568 + 9 + 74 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14402880144 + 6502809600 = 120012^2 + 80640^2 .

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, 1729032 + ... + 1741080.

Almost surely, 220905689744 is an apocalyptic number.

20905689744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20905689744 is the 144588-th square number.

It is an amenable number.

20905689744 is an abundant number, since it is smaller than the sum of its proper divisors (37606062009).

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

20905689744 is an frugal number, since it uses more digits than its factorization.

20905689744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24112 (or 12054 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

It can be divided in two parts, 20905 and 689744, that added together give a square (710649 = 8432).

The spelling of 20905689744 in words is "twenty billion, nine hundred five million, six hundred eighty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 12049 24098 36147 48196 72294 96392 108441 144588 192784 216882 289176 433764 578352 867528 1735056 145178401 290356802 435535203 580713604 871070406 1161427208 1306605609 1742140812 2322854416 2613211218 3484281624 5226422436 6968563248 10452844872 20905689744