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20479561641 = 3371115536343
BaseRepresentation
bin10011000100101011…
…010100111110101001
31221212020220112011000
4103010223110332221
5313420231433031
613224100025213
71323334254540
oct230453247651
957766815130
1020479561641
11875a1a6860
123b76692209
131c14b54c16
14dc3c7b157
157ecde83e6
hex4c4ad4fa9

20479561641 has 64 divisors (see below), whose sum is σ = 37856931840. Its totient is φ = 10630206720.

The previous prime is 20479561631. The next prime is 20479561699. The reversal of 20479561641 is 14616597402.

20479561641 is a `hidden beast` number, since 2 + 0 + 47 + 9 + 561 + 6 + 41 = 666.

It is not a de Polignac number, because 20479561641 - 225 = 20446007209 is a prime.

It is a super-2 number, since 2×204795616412 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20479561631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3225516 + ... + 3231858.

It is an arithmetic number, because the mean of its divisors is an integer number (591514560).

Almost surely, 220479561641 is an apocalyptic number.

20479561641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20479561641 is a deficient number, since it is larger than the sum of its proper divisors (17377370199).

20479561641 is a wasteful number, since it uses less digits than its factorization.

20479561641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7923 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 20479561641 in words is "twenty billion, four hundred seventy-nine million, five hundred sixty-one thousand, six hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 1553 2079 4659 6343 10871 13977 17083 19029 32613 41931 44401 51249 57087 69773 97839 119581 133203 153747 171261 209319 293517 358743 399609 461241 488411 627957 1076229 1198827 1465233 1883871 3228687 4395699 9850679 13187097 29552037 68954753 88656111 108357469 206864259 265968333 325072407 620592777 758502283 975217221 1861778331 2275506849 2925651663 6826520547 20479561641