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19746738928 = 2472294212063
BaseRepresentation
bin10010011000111111…
…110101001011110000
31212222011222021101001
4102120333311023300
5310420131121203
613023241051344
71266225340300
oct223077651360
955864867331
1019746738928
118413579254
1239b1186b54
131b29092b07
14d547db600
157a88e091d
hex498ff52f0

19746738928 has 120 divisors (see below), whose sum is σ = 46172134080. Its totient is φ = 8147704320.

The previous prime is 19746738923. The next prime is 19746739031. The reversal of 19746738928 is 82983764791.

It is a self number, because there is not a number n which added to its sum of digits gives 19746738928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19746738923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9570825 + ... + 9572887.

It is an arithmetic number, because the mean of its divisors is an integer number (384767784).

Almost surely, 219746738928 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 19746738928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23086067040).

19746738928 is an abundant number, since it is smaller than the sum of its proper divisors (26425395152).

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

19746738928 is a wasteful number, since it uses less digits than its factorization.

19746738928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2522 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 64.

The spelling of 19746738928 in words is "nineteen billion, seven hundred forty-six million, seven hundred thirty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 421 464 784 812 842 1421 1624 1684 2063 2842 2947 3248 3368 4126 5684 5894 6736 8252 11368 11788 12209 14441 16504 20629 22736 23576 24418 28882 33008 41258 47152 48836 57764 59827 82516 85463 97672 101087 115528 119654 165032 170926 195344 202174 231056 239308 330064 341852 404348 418789 478616 598241 683704 808696 837578 868523 957232 1196482 1367408 1617392 1675156 1737046 2392964 2931523 3350312 3474092 4785928 5863046 6079661 6700624 6948184 9571856 11726092 12159322 13896368 23452184 24318644 25187167 42557627 46904368 48637288 50374334 85115254 97274576 100748668 170230508 176310169 201497336 340461016 352620338 402994672 680922032 705240676 1234171183 1410481352 2468342366 2820962704 4936684732 9873369464 19746738928