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7027780968 = 233413834257
BaseRepresentation
bin1101000101110001…
…10110110101101000
3200010210000021010000
412202320312311220
5103343102442333
63121205423000
7336104103225
oct64270666550
920123007100
107027780968
112a86aa994a
12144170aa60
1387ccb1ba0
144a950c94c
152b1ea5713
hex1a2e36d68

7027780968 has 80 divisors (see below), whose sum is σ = 21198495780. Its totient is φ = 2162391552.

The previous prime is 7027780967. The next prime is 7027781017. The reversal of 7027780968 is 8690877207.

It can be written as a sum of positive squares in 2 ways, for example, as 6470915364 + 556865604 = 80442^2 + 23598^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7027780961) 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 19 ways as a sum of consecutive naturals, for example, 408705 + ... + 425552.

Almost surely, 27027780968 is an apocalyptic number.

7027780968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7027780968 is an abundant number, since it is smaller than the sum of its proper divisors (14170714812).

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

7027780968 is a wasteful number, since it uses less digits than its factorization.

7027780968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834288 (or 834275 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 7027780968 is about 83831.8612939019. The cubic root of 7027780968 is about 1915.4584652210.

The spelling of 7027780968 in words is "seven billion, twenty-seven million, seven hundred eighty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 834257 1668514 2502771 3337028 5005542 6674056 7508313 10011084 10845341 15016626 20022168 21690682 22524939 30033252 32536023 43381364 45049878 60066504 65072046 67574817 86762728 90099756 97608069 130144092 135149634 180199512 195216138 260288184 270299268 292824207 390432276 540598536 585648414 780864552 878472621 1171296828 1756945242 2342593656 3513890484 7027780968