Search a number
-
+
99139338496 = 2811217892
BaseRepresentation
bin101110001010100101…
…0100100000100000000
3100110220012011012121201
41130111022210010000
53111014132312441
6113313300030544
710106523321202
oct1342512440400
9313805135551
1099139338496
1139054632400
1217269692454
13946c40a793
144b26a24772
1528a38cdc31
hex17152a4100

99139338496 has 81 divisors (see below), whose sum is σ = 217638662493. Its totient is φ = 45038146560.

The previous prime is 99139338479. The next prime is 99139338503. The reversal of 99139338496 is 69483393199.

The square root of 99139338496 is 314864.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 93675172096 + 5464166400 = 306064^2 + 73920^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55415170 + ... + 55416958.

Almost surely, 299139338496 is an apocalyptic number.

99139338496 is the 314864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99139338496

99139338496 is an abundant number, since it is smaller than the sum of its proper divisors (118499323997).

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

99139338496 is an frugal number, since it uses more digits than its factorization.

99139338496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616 (or 1802 counting only the distinct ones).

The product of its digits is 34012224, while the sum is 64.

Multiplying 99139338496 by its sum of digits (64), we get a square (6344917663744 = 25189122).

99139338496 divided by its sum of digits (64) gives a square (1549052164 = 393582).

The spelling of 99139338496 in words is "ninety-nine billion, one hundred thirty-nine million, three hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1789 1936 2816 3578 3872 7156 7744 14312 15488 19679 28624 30976 39358 57248 78716 114496 157432 216469 228992 314864 432938 457984 629728 865876 1259456 1731752 2518912 3200521 3463504 5037824 6401042 6927008 12802084 13854016 25604168 27708032 35205731 51208336 55416064 70411462 102416672 140822924 204833344 281645848 387263041 409666688 563291696 774526082 819333376 1126583392 1549052164 2253166784 3098104328 4506333568 6196208656 9012667136 12392417312 24784834624 49569669248 99139338496