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20444213408 = 2519471395147
BaseRepresentation
bin10011000010100100…
…011111000010100000
31221202210101122111012
4103002210133002200
5313332204312113
613220354240052
71322424642503
oct230244370240
957683348435
1020444213408
118741253143
123b66886028
131c0a7297c8
14dbd2b913a
157e9c64aa8
hex4c291f0a0

20444213408 has 96 divisors (see below), whose sum is σ = 43589145600. Its totient is φ = 9408040704.

The previous prime is 20444213393. The next prime is 20444213437. The reversal of 20444213408 is 80431244402.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 3969491 + ... + 3974637.

It is an arithmetic number, because the mean of its divisors is an integer number (454053600).

Almost surely, 220444213408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20444213408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21794572800).

20444213408 is an abundant number, since it is smaller than the sum of its proper divisors (23144932192).

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

20444213408 is a wasteful number, since it uses less digits than its factorization.

20444213408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The spelling of 20444213408 in words is "twenty billion, four hundred forty-four million, two hundred thirteen thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 32 38 47 76 94 139 152 188 278 304 376 556 608 752 893 1112 1504 1786 2224 2641 3572 4448 5147 5282 6533 7144 10294 10564 13066 14288 20588 21128 26132 28576 41176 42256 52264 82352 84512 97793 104528 124127 164704 195586 209056 241909 248254 391172 483818 496508 715433 782344 967636 993016 1430866 1564688 1935272 1986032 2861732 3129376 3870544 3972064 4596271 5723464 7741088 9192542 11446928 13593227 18385084 22893856 27186454 33625351 36770168 54372908 67250702 73540336 108745816 134501404 147080672 217491632 269002808 434983264 538005616 638881669 1076011232 1277763338 2555526676 5111053352 10222106704 20444213408