Search a number
-
+
9129980800 = 275219314783
BaseRepresentation
bin10001000000011000…
…00111001110000000
3212120021200002011001
420200030013032000
5122144233341200
64105543101344
7442151361553
oct104014071600
925507602131
109129980800
1139656aa786
121929741854
13b26690105
146287ac69a
1538680476a
hex220307380

9129980800 has 96 divisors (see below), whose sum is σ = 22672298880. Its totient is φ = 3632824320.

The previous prime is 9129980789. The next prime is 9129980879. The reversal of 9129980800 is 80899219.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 610209 + ... + 624991.

It is an arithmetic number, because the mean of its divisors is an integer number (236169780).

Almost surely, 29129980800 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 9129980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11336149440).

9129980800 is an abundant number, since it is smaller than the sum of its proper divisors (13542318080).

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

9129980800 is a wasteful number, since it uses less digits than its factorization.

9129980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15000 (or 14983 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 46.

The square root of 9129980800 is about 95550.9330148063. The cubic root of 9129980800 is about 2090.0497382148.

The spelling of 9129980800 in words is "nine billion, one hundred twenty-nine million, nine hundred eighty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 193 200 320 386 400 640 772 800 965 1544 1600 1930 3088 3200 3860 4825 6176 7720 9650 12352 14783 15440 19300 24704 29566 30880 38600 59132 61760 73915 77200 118264 123520 147830 154400 236528 295660 308800 369575 473056 591320 617600 739150 946112 1182640 1478300 1892224 2365280 2853119 2956600 4730560 5706238 5913200 9461120 11412476 11826400 14265595 22824952 23652800 28531190 45649904 47305600 57062380 71327975 91299808 114124760 142655950 182599616 228249520 285311900 365199232 456499040 570623800 912998080 1141247600 1825996160 2282495200 4564990400 9129980800