Search a number
-
+
6968743440 = 2435208713913
BaseRepresentation
bin1100111110101111…
…01001011000010000
3122222122220211211220
412133113221120100
5103232444242230
63111300205040
7334456225161
oct63727513020
918878824756
106968743440
112a567460aa
121425999780
138709b1039
144a1741768
152abbe2d10
hex19f5e9610

6968743440 has 80 divisors (see below), whose sum is σ = 21615009408. Its totient is φ = 1857307648.

The previous prime is 6968743433. The next prime is 6968743477. The reversal of 6968743440 is 443478696.

It is a Cunningham number, because it is equal to 834792-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493924 + ... + 507836.

Almost surely, 26968743440 is an apocalyptic number.

6968743440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6968743440 is an abundant number, since it is smaller than the sum of its proper divisors (14646265968).

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

6968743440 is a wasteful number, since it uses less digits than its factorization.

6968743440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16016 (or 16010 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The square root of 6968743440 is about 83478.9999940105. Note that the first 5 decimals coincide. The cubic root of 6968743440 is about 1910.0797130552.

The spelling of 6968743440 in words is "six billion, nine hundred sixty-eight million, seven hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2087 4174 6261 8348 10435 12522 13913 16696 20870 25044 27826 31305 33392 41739 41740 50088 55652 62610 69565 83478 83480 100176 111304 125220 139130 166956 166960 208695 222608 250440 278260 333912 417390 500880 556520 667824 834780 1113040 1669560 3339120 29036431 58072862 87109293 116145724 145182155 174218586 232291448 290364310 348437172 435546465 464582896 580728620 696874344 871092930 1161457240 1393748688 1742185860 2322914480 3484371720 6968743440