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20964147848 = 23727121032
BaseRepresentation
bin10011100001100011…
…111000001010001000
32000010000202001110022
4103201203320022020
5320413310212343
613344130240012
71341340213400
oct234143701210
960100661408
1020964147848
118988795626
124090a26008
131c91371217
14102c37d800
1582a719568
hex4e18f8288

20964147848 has 108 divisors (see below), whose sum is σ = 46833111495. Its totient is φ = 8772089760.

The previous prime is 20964147833. The next prime is 20964147881. The reversal of 20964147848 is 84874146902.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 10482073924 + 10482073924 = 102382^2 + 102382^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=102382.

It is a super-2 number, since 2×209641478482 (a number of 21 digits) contains 22 as substring.

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 20964147848.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 203535365 + ... + 203535467.

Almost surely, 220964147848 is an apocalyptic number.

20964147848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20964147848

20964147848 is an abundant number, since it is smaller than the sum of its proper divisors (25868963647).

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

20964147848 is an equidigital number, since it uses as much as digits as its factorization.

20964147848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 20964147848 in words is "twenty billion, nine hundred sixty-four million, one hundred forty-seven thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 71 98 103 142 196 206 284 392 412 497 568 721 824 994 1442 1988 2884 3479 3976 5041 5047 5768 6958 7313 10082 10094 10609 13916 14626 20164 20188 21218 27832 29252 35287 40328 40376 42436 51191 58504 70574 74263 84872 102382 141148 148526 204764 247009 282296 297052 358337 409528 494018 519223 519841 594104 716674 753239 988036 1038446 1039682 1433348 1506478 1976072 2076892 2079364 2866696 3012956 3634561 4153784 4158728 5272673 6025912 7269122 10545346 14538244 21090692 25441927 29076488 36908711 42181384 50883854 53479969 73817422 101767708 106959938 147634844 203535416 213919876 295269688 374359783 427839752 748719566 1497439132 2620518481 2994878264 5241036962 10482073924 20964147848