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20000504064 = 283142318301
BaseRepresentation
bin10010101000000111…
…110111100100000000
31220121212110212200210
4102220013313210000
5311430112112224
613104344114120
71305426323322
oct225007674400
956555425623
1020000504064
118533843802
123a62165940
131b698231b8
14d7a3b7612
157c0d1a429
hex4a81f7900

20000504064 has 72 divisors (see below), whose sum is σ = 53270826112. Its totient is φ = 6661785600.

The previous prime is 20000504047. The next prime is 20000504089. The reversal of 20000504064 is 46040500002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20000504064.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1083714 + ... + 1102014.

Almost surely, 220000504064 is an apocalyptic number.

20000504064 is a gapful number since it is divisible by the number (24) 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 20000504064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26635413056).

20000504064 is an abundant number, since it is smaller than the sum of its proper divisors (33270322048).

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

20000504064 is a wasteful number, since it uses less digits than its factorization.

20000504064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19743 (or 19729 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The spelling of 20000504064 in words is "twenty billion, five hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1423 2846 4269 5692 8538 11384 17076 18301 22768 34152 36602 45536 54903 68304 73204 91072 109806 136608 146408 182144 219612 273216 292816 364288 439224 546432 585632 878448 1092864 1171264 1756896 2342528 3513792 4685056 7027584 14055168 26042323 52084646 78126969 104169292 156253938 208338584 312507876 416677168 625015752 833354336 1250031504 1666708672 2500063008 3333417344 5000126016 6666834688 10000252032 20000504064