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20741230656 = 26344001009
BaseRepresentation
bin10011010100010001…
…100001000001000000
31222112111021200120000
4103110101201001000
5314434223340111
613310044320000
71332662360136
oct232421410100
958474250500
1020741230656
11888397a643
12402a243000
131c57121a63
14100a913756
15815d84c56
hex4d4461040

20741230656 has 70 divisors (see below), whose sum is σ = 61483520670. Its totient is φ = 6913741824.

The previous prime is 20741230649. The next prime is 20741230709. The reversal of 20741230656 is 65603214702.

20741230656 is a `hidden beast` number, since 207 + 412 + 30 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20159456256 + 581774400 = 141984^2 + 24120^2 .

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 20741230656.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1995321 + ... + 2005688.

Almost surely, 220741230656 is an apocalyptic number.

It is an amenable number.

20741230656 is an abundant number, since it is smaller than the sum of its proper divisors (40742290014).

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

20741230656 is an equidigital number, since it uses as much as digits as its factorization.

20741230656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001033 (or 4001014 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 20741230656 in words is "twenty billion, seven hundred forty-one million, two hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 4001009 8002018 12003027 16004036 24006054 32008072 36009081 48012108 64016144 72018162 96024216 108027243 128032288 144036324 192048432 216054486 256064576 288072648 324081729 384096864 432108972 576145296 648163458 768193728 864217944 1152290592 1296326916 1728435888 2304581184 2592653832 3456871776 5185307664 6913743552 10370615328 20741230656