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20438420256 = 25347885193
BaseRepresentation
bin10011000010001110…
…011000101100100000
31221202101111022210000
4103002032120230200
5313324213422011
613220030140000
71322324464032
oct230216305440
957671438700
1020438420256
118738a56711
123b64951600
131c0947b9c7
14dbc60bc52
157e94bd356
hex4c2398b20

20438420256 has 60 divisors (see below), whose sum is σ = 60108833862. Its totient is φ = 6812805888.

The previous prime is 20438420179. The next prime is 20438420267. The reversal of 20438420256 is 65202483402.

20438420256 is a `hidden beast` number, since 2 + 0 + 4 + 384 + 20 + 256 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16973920656 + 3464499600 = 130284^2 + 58860^2 .

It is a super-2 number, since 2×204384202562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20438420256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3940005 + ... + 3945188.

Almost surely, 220438420256 is an apocalyptic number.

It is an amenable number.

20438420256 is an abundant number, since it is smaller than the sum of its proper divisors (39670413606).

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

20438420256 is an equidigital number, since it uses as much as digits as its factorization.

20438420256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7885215 (or 7885198 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 20438420256 in words is "twenty billion, four hundred thirty-eight million, four hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 7885193 15770386 23655579 31540772 47311158 63081544 70966737 94622316 126163088 141933474 189244632 212900211 252326176 283866948 378489264 425800422 567733896 638700633 756978528 851600844 1135467792 1277401266 1703201688 2270935584 2554802532 3406403376 5109605064 6812806752 10219210128 20438420256