Search a number
-
+
19523966208 = 283231736389
BaseRepresentation
bin10010001011101110…
…000001010100000000
31212101122210020122120
4102023232001110000
5304441113404313
612545202204240
71260551655165
oct221356012400
955348706576
1019523966208
11830985186a
12394a653680
131ac1b94336
14d32dac06c
15794088d23
hex48bb81500

19523966208 has 144 divisors (see below), whose sum is σ = 54543404160. Its totient is φ = 6188081152.

The previous prime is 19523966207. The next prime is 19523966233. The reversal of 19523966208 is 80266932591.

It is a super-2 number, since 2×195239662082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19523966207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3052678 + ... + 3059066.

It is an arithmetic number, because the mean of its divisors is an integer number (378773640).

Almost surely, 219523966208 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 19523966208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27271702080).

19523966208 is an abundant number, since it is smaller than the sum of its proper divisors (35019437952).

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

19523966208 is a wasteful number, since it uses less digits than its factorization.

19523966208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6604 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 19523966208 in words is "nineteen billion, five hundred twenty-three million, nine hundred sixty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 173 184 192 256 276 346 368 384 519 552 692 736 768 1038 1104 1384 1472 2076 2208 2768 2944 3979 4152 4416 5536 5888 6389 7958 8304 8832 11072 11937 12778 15916 16608 17664 19167 22144 23874 25556 31832 33216 38334 44288 47748 51112 63664 66432 76668 95496 102224 127328 132864 146947 153336 190992 204448 254656 293894 306672 381984 408896 440841 509312 587788 613344 763968 817792 881682 1018624 1105297 1175576 1226688 1527936 1635584 1763364 2210594 2351152 2453376 3055872 3315891 3526728 4421188 4702304 4906752 6631782 7053456 8842376 9404608 13263564 14106912 17684752 18809216 25421831 26527128 28213824 35369504 37618432 50843662 53054256 56427648 70739008 76265493 101687324 106108512 112855296 141478016 152530986 203374648 212217024 282956032 305061972 406749296 424434048 610123944 813498592 848868096 1220247888 1626997184 2440495776 3253994368 4880991552 6507988736 9761983104 19523966208