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20464315641 = 32711173734657
BaseRepresentation
bin10011000011110001…
…001010110011111001
31221211012012221120100
4103003301022303321
5313402331100031
613222353150013
71323060545550
oct230361126371
957735187510
1020464315641
118751633260
123b7155b309
131c11947613
14dc1c2cd97
157eb8d5de6
hex4c3c4acf9

20464315641 has 96 divisors (see below), whose sum is σ = 39134354688. Its totient is φ = 9976504320.

The previous prime is 20464315601. The next prime is 20464315657. The reversal of 20464315641 is 14651346402.

20464315641 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 4 + 3 + 1 + 5 + 641 = 666.

It is not a de Polignac number, because 20464315641 - 211 = 20464313593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20464315596 and 20464315605.

It is not an unprimeable number, because it can be changed into a prime (20464315601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4391985 + ... + 4396641.

It is an arithmetic number, because the mean of its divisors is an integer number (407649528).

Almost surely, 220464315641 is an apocalyptic number.

20464315641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20464315641 is a deficient number, since it is larger than the sum of its proper divisors (18670039047).

20464315641 is a wasteful number, since it uses less digits than its factorization.

20464315641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5071 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 20464315641 in words is "twenty billion, four hundred sixty-four million, three hundred fifteen thousand, six hundred forty-one".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 357 373 561 693 1071 1119 1309 1683 2611 3357 3927 4103 4657 6341 7833 11781 12309 13971 19023 23499 28721 32599 36927 41913 44387 51227 57069 69751 79169 86163 97797 133161 153681 209253 237507 258489 293391 358589 399483 461043 488257 554183 627759 712521 870859 1075767 1464771 1662549 1737061 2612577 3227301 4394313 4987647 5211183 6096013 7837731 12159427 15633549 18288039 19107671 29530037 36478281 54864117 57323013 88590111 109434843 133753697 171969039 206710259 265770333 324830407 401261091 620130777 974491221 1203783273 1860392331 2273812849 2923473663 6821438547 20464315641