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20464660000 = 25548911497
BaseRepresentation
bin10011000011110010…
…011110111000100000
31221211012212102221101
4103003302132320200
5313402423110000
613222404404144
71323063511531
oct230362367040
957735772841
1020464660000
118751848a54
123b716a6654
131c11a38295
14dc1cbc688
157eb952e6a
hex4c3c9ee20

20464660000 has 120 divisors (see below), whose sum is σ = 50916248460. Its totient is φ = 8093184000.

The previous prime is 20464659977. The next prime is 20464660037. The reversal of 20464660000 is 6646402.

It can be written as a sum of positive squares in 10 ways, for example, as 3094474384 + 17370185616 = 55628^2 + 131796^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1774252 + ... + 1785748.

Almost surely, 220464660000 is an apocalyptic number.

20464660000 is a gapful number since it is divisible by the number (20) 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 20464660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25458124230).

20464660000 is an abundant number, since it is smaller than the sum of its proper divisors (30451588460).

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

20464660000 is an equidigital number, since it uses as much as digits as its factorization.

20464660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11616 (or 11593 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 20464660000 in words is "twenty billion, four hundred sixty-four million, six hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 125 160 178 200 250 356 400 445 500 625 712 800 890 1000 1250 1424 1780 2000 2225 2500 2848 3560 4000 4450 5000 7120 8900 10000 11125 11497 14240 17800 20000 22250 22994 35600 44500 45988 55625 57485 71200 89000 91976 111250 114970 178000 183952 222500 229940 287425 356000 367904 445000 459880 574850 890000 919760 1023233 1149700 1437125 1780000 1839520 2046466 2299400 2874250 4092932 4598800 5116165 5748500 7185625 8185864 9197600 10232330 11497000 14371250 16371728 20464660 22994000 25580825 28742500 32743456 40929320 45988000 51161650 57485000 81858640 102323300 114970000 127904125 163717280 204646600 229940000 255808250 409293200 511616500 639520625 818586400 1023233000 1279041250 2046466000 2558082500 4092932000 5116165000 10232330000 20464660000