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20598277441 = 742921012
BaseRepresentation
bin10011001011110000…
…001100010101000001
31222011112021220121111
4103023300030111001
5314141124334231
613243540323321
71326305320000
oct231360142501
958145256544
1020598277441
118810210795
123baa3a3541
131c3361c461
14dd5940c37
158085484b1
hex4cbc0c541

20598277441 has 45 divisors (see below), whose sum is σ = 25135930313. Its totient is φ = 16878069600.

The previous prime is 20598277421. The next prime is 20598277489. The reversal of 20598277441 is 14477289502.

The square root of 20598277441 is 143521.

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 6768517441 + 13829760000 = 82271^2 + 117600^2 .

It is not a de Polignac number, because 20598277441 - 215 = 20598244673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20598277421) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 203943291 + ... + 203943391.

Almost surely, 220598277441 is an apocalyptic number.

20598277441 is the 143521-st square number.

20598277441 is the 71761-st centered octagonal number.

It is an amenable number.

20598277441 is a deficient number, since it is larger than the sum of its proper divisors (4537652872).

20598277441 is an frugal number, since it uses more digits than its factorization.

20598277441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

Multiplying 20598277441 by its sum of digits (49), we get a square (1009315594609 = 10046472).

20598277441 divided by its sum of digits (49) gives a square (420373009 = 205032).

The spelling of 20598277441 in words is "twenty billion, five hundred ninety-eight million, two hundred seventy-seven thousand, four hundred forty-one".

Divisors: 1 7 29 49 101 203 343 707 841 1421 2401 2929 4949 5887 9947 10201 20503 34643 41209 69629 71407 84941 143521 242501 288463 295829 499849 594587 1004647 2019241 2070803 3498943 4162109 7032529 8579041 14495621 24492601 29134763 60053287 101469347 203943341 420373009 710285429 2942611063 20598277441