Search a number
-
+
97844723700 = 223521971241771
BaseRepresentation
bin101101100011111111…
…1111111111111110100
3100100112222002221222120
41123013333333333310
53100341222124300
6112541011555540
710032453300063
oct1330777777764
9310488087876
1097844723700
113854a883119
1216b67bbbbb0
1392c4139a19
144a42b061da
152829e043a0
hex16c7fffff4

97844723700 has 144 divisors (see below), whose sum is σ = 302195658240. Its totient is φ = 24370416000.

The previous prime is 97844723653. The next prime is 97844723701. The reversal of 97844723700 is 732744879.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97844723701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283815 + ... + 525585.

It is an arithmetic number, because the mean of its divisors is an integer number (2098580960).

Almost surely, 297844723700 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 97844723700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151097829120).

97844723700 is an abundant number, since it is smaller than the sum of its proper divisors (204350934540).

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

97844723700 is a wasteful number, since it uses less digits than its factorization.

97844723700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241878 (or 241871 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 97844723700 in words is "ninety-seven billion, eight hundred forty-four million, seven hundred twenty-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 71 75 76 95 100 114 142 150 190 213 228 284 285 300 355 380 426 475 570 710 852 950 1065 1140 1349 1420 1425 1775 1900 2130 2698 2850 3550 4047 4260 5325 5396 5700 6745 7100 8094 10650 13490 16188 20235 21300 26980 33725 40470 67450 80940 101175 134900 202350 241771 404700 483542 725313 967084 1208855 1450626 2417710 2901252 3626565 4593649 4835420 6044275 7253130 9187298 12088550 13780947 14506260 17165741 18132825 18374596 22968245 24177100 27561894 34331482 36265650 45936490 51497223 55123788 68662964 68904735 72531300 85828705 91872980 102994446 114841225 137809470 171657410 205988892 229682450 257486115 275618940 326149079 343314820 344523675 429143525 459364900 514972230 652298158 689047350 858287050 978447237 1029944460 1287430575 1304596316 1378094700 1630745395 1716574100 1956894474 2574861150 3261490790 3913788948 4892236185 5149722300 6522981580 8153726975 9784472370 16307453950 19568944740 24461180925 32614907900 48922361850 97844723700