Search a number
-
+
6996417720 = 2335311187471
BaseRepresentation
bin1101000010000010…
…01101110010111000
3200001120222211211020
412201001031302320
5103312040331340
63114125302440
7335243366205
oct64101156270
920046884736
106996417720
112a70328206
121433104a20
13876650556
144a52a6cac
152ae35c9d0
hex1a104dcb8

6996417720 has 64 divisors (see below), whose sum is σ = 21056855040. Its totient is φ = 1859702400.

The previous prime is 6996417629. The next prime is 6996417721. The reversal of 6996417720 is 277146996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6996417721) 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, 56416 + ... + 131055.

It is an arithmetic number, because the mean of its divisors is an integer number (329013360).

Almost surely, 26996417720 is an apocalyptic number.

6996417720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6996417720 is an abundant number, since it is smaller than the sum of its proper divisors (14060437320).

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

6996417720 is a wasteful number, since it uses less digits than its factorization.

6996417720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187796 (or 187792 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 6996417720 is about 83644.5916960565. The cubic root of 6996417720 is about 1912.6048101815.

The spelling of 6996417720 in words is "six billion, nine hundred ninety-six million, four hundred seventeen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 311 622 933 1244 1555 1866 2488 3110 3732 4665 6220 7464 9330 12440 18660 37320 187471 374942 562413 749884 937355 1124826 1499768 1874710 2249652 2812065 3749420 4499304 5624130 7498840 11248260 22496520 58303481 116606962 174910443 233213924 291517405 349820886 466427848 583034810 699641772 874552215 1166069620 1399283544 1749104430 2332139240 3498208860 6996417720