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5667695838 = 2327231972137
BaseRepresentation
bin1010100011101001…
…00010110011011110
3112121222202210001200
411101310202303132
543101412231323
62334222220330
7260310422400
oct52164426336
915558683050
105667695838
1124492a2852
1211221246a6
136c429a29c
143baa2ab70
15232897443
hex151d22cde

5667695838 has 144 divisors (see below), whose sum is σ = 14904699264. Its totient is φ = 1550223360.

The previous prime is 5667695833. The next prime is 5667695849. The reversal of 5667695838 is 8385967665.

5667695838 is a `hidden beast` number, since 566 + 7 + 69 + 5 + 8 + 3 + 8 = 666.

It is a super-2 number, since 2×56676958382 = 64245552224165044488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5667695833) 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 71 ways as a sum of consecutive naturals, for example, 2651106 + ... + 2653242.

It is an arithmetic number, because the mean of its divisors is an integer number (103504856).

Almost surely, 25667695838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5667695838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452349632).

5667695838 is an abundant number, since it is smaller than the sum of its proper divisors (9237003426).

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

5667695838 is a wasteful number, since it uses less digits than its factorization.

5667695838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2277 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The square root of 5667695838 is about 75284.1008314505. The cubic root of 5667695838 is about 1782.9350053222.

The spelling of 5667695838 in words is "five billion, six hundred sixty-seven million, six hundred ninety-five thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 97 98 126 147 186 194 217 279 291 294 434 441 558 582 651 679 873 882 1302 1358 1519 1746 1953 2037 2137 3007 3038 3906 4074 4274 4557 4753 6014 6111 6411 9021 9114 9506 12222 12822 13671 14259 14959 18042 19233 21049 27063 27342 28518 29918 38466 42098 42777 44877 54126 63147 66247 85554 89754 104713 126294 132494 134631 147343 189441 198741 207289 209426 269262 294686 314139 378882 397482 414578 442029 463729 596223 621867 628278 884058 927458 942417 1192446 1243734 1326087 1391187 1451023 1865601 1884834 2652174 2782374 2902046 3246103 3731202 4173561 4353069 6425959 6492206 8347122 8706138 9738309 10157161 12851918 13059207 19277877 19476618 20314322 26118414 29214927 30471483 38555754 44981713 57833631 58429854 60942966 89963426 91414449 115667262 134945139 182828898 269890278 314871991 404835417 629743982 809670834 944615973 1889231946 2833847919 5667695838