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4026631005 = 325293789937
BaseRepresentation
bin1111000000000001…
…1000001101011101
3101101121211001022200
43300000120031131
531221304143010
61503320402113
7201532540665
oct36000301535
911347731280
104026631005
111786a23521
12944616339
134c22b70c7
142a2ac71a5
15188785cc0
hexf001835d

4026631005 has 96 divisors (see below), whose sum is σ = 7506626400. Its totient is φ = 1992646656.

The previous prime is 4026631001. The next prime is 4026631009. The reversal of 4026631005 is 5001366204.

4026631005 is a `hidden beast` number, since 4 + 0 + 26 + 631 + 0 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (4026631001) and next prime (4026631009).

It can be written as a sum of positive squares in 16 ways, for example, as 1540013049 + 2486617956 = 39243^2 + 49866^2 .

It is not a de Polignac number, because 4026631005 - 22 = 4026631001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4026631005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4026631001) 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 95 ways as a sum of consecutive naturals, for example, 4296897 + ... + 4297833.

It is an arithmetic number, because the mean of its divisors is an integer number (78194025).

Almost surely, 24026631005 is an apocalyptic number.

4026631005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4026631005 is a deficient number, since it is larger than the sum of its proper divisors (3479995395).

4026631005 is a wasteful number, since it uses less digits than its factorization.

4026631005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4026631005 is about 63455.7405204604. The cubic root of 4026631005 is about 1590.9161031384.

Adding to 4026631005 its reverse (5001366204), we get a palindrome (9027997209).

The spelling of 4026631005 in words is "four billion, twenty-six million, six hundred thirty-one thousand, five".

Divisors: 1 3 5 9 15 29 37 45 87 89 111 145 185 261 267 333 435 445 555 801 937 1073 1305 1335 1665 2581 2811 3219 3293 4005 4685 5365 7743 8433 9657 9879 12905 14055 16095 16465 23229 27173 29637 34669 38715 42165 48285 49395 81519 83393 95497 104007 116145 135865 148185 173345 244557 250179 286491 312021 407595 416965 477485 520035 750537 859473 1005401 1222785 1250895 1432455 1560105 2418397 3016203 3085541 3752685 4297365 5027005 7255191 9048609 9256623 12091985 15081015 15427705 21765573 27769869 36275955 45243045 46283115 89480689 108827865 138849345 268442067 447403445 805326201 1342210335 4026631005