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7066642416 = 2431711177753
BaseRepresentation
bin1101001010011010…
…00110011111110000
3200020111010121222220
412211031012133300
5103433030024131
63125114401040
7340055320011
oct64515063760
920214117886
107066642416
112aa6a32049
121452730180
1388806a422
144b0747008
152b55cee96
hex1a53467f0

7066642416 has 80 divisors (see below), whose sum is σ = 19349145504. Its totient is φ = 2214715392.

The previous prime is 7066642411. The next prime is 7066642423. The reversal of 7066642416 is 6142466607.

It is a happy number.

It is a super-2 number, since 2×70666424162 = 99874870071220634112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7066642411) by changing a digit.

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, 907596 + ... + 915348.

Almost surely, 27066642416 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 7066642416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9674572752).

7066642416 is an abundant number, since it is smaller than the sum of its proper divisors (12282503088).

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

7066642416 is a wasteful number, since it uses less digits than its factorization.

7066642416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8898 (or 8892 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 7066642416 is about 84063.3238457771. The cubic root of 7066642416 is about 1918.9826076887.

The spelling of 7066642416 in words is "seven billion, sixty-six million, six hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1117 2234 3351 4468 6702 7753 8936 13404 15506 17872 18989 23259 26808 31012 37978 46518 53616 56967 62024 75956 93036 113934 124048 131801 151912 186072 227868 263602 303824 372144 395403 455736 527204 790806 911472 1054408 1581612 2108816 3163224 6326448 8660101 17320202 25980303 34640404 51960606 69280808 103921212 138561616 147221717 207842424 294443434 415684848 441665151 588886868 883330302 1177773736 1766660604 2355547472 3533321208 7066642416