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5667090816 = 27379718517
BaseRepresentation
bin1010100011100100…
…01111000110000000
3112121221122001010110
411101302033012000
543101233401231
62334201231320
7260302322442
oct52162170600
915557561113
105667090816
112448a1a232
121121a92540
136c4117a9a
143ba910492
152327c8046
hex151c8f180

5667090816 has 64 divisors (see below), whose sum is σ = 15072911280. Its totient is φ = 1886558208.

The previous prime is 5667090799. The next prime is 5667090817. The reversal of 5667090816 is 6180907665.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5667090817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296790 + ... + 315306.

Almost surely, 25667090816 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 5667090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7536455640).

5667090816 is an abundant number, since it is smaller than the sum of its proper divisors (9405820464).

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

5667090816 is a wasteful number, since it uses less digits than its factorization.

5667090816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19331 (or 19319 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 5667090816 is about 75280.0824654171. The cubic root of 5667090816 is about 1782.8715607691.

The spelling of 5667090816 in words is "five billion, six hundred sixty-seven million, ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 797 1594 2391 3188 4782 6376 9564 12752 18517 19128 25504 37034 38256 51008 55551 74068 76512 102016 111102 148136 153024 222204 296272 306048 444408 592544 888816 1185088 1777632 2370176 3555264 7110528 14758049 29516098 44274147 59032196 88548294 118064392 177096588 236128784 354193176 472257568 708386352 944515136 1416772704 1889030272 2833545408 5667090816