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1014769665 = 325721335401
BaseRepresentation
bin111100011111000…
…010100000000001
32121201110122021200
4330133002200001
54034240112130
6244410011413
734101254100
oct7437024001
92551418250
101014769665
114808a1518
12243a16b69
1313230ba30
1498ab4037
155e14c760
hex3c7c2801

1014769665 has 72 divisors (see below), whose sum is σ = 2203562088. Its totient is φ = 428198400.

The previous prime is 1014769663. The next prime is 1014769669. The reversal of 1014769665 is 5669674101.

It can be written as a sum of positive squares in 4 ways, for example, as 1238769 + 1013530896 = 1113^2 + 31836^2 .

It is not a de Polignac number, because 1014769665 - 21 = 1014769663 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1014769665.

It is not an unprimeable number, because it can be changed into a prime (1014769663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10965 + ... + 46365.

It is an arithmetic number, because the mean of its divisors is an integer number (30605029).

Almost surely, 21014769665 is an apocalyptic number.

1014769665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1014769665 is an abundant number, since it is smaller than the sum of its proper divisors (1188792423).

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

1014769665 is a wasteful number, since it uses less digits than its factorization.

1014769665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35439 (or 35429 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1014769665 is about 31855.4495337925. The cubic root of 1014769665 is about 1004.8991805004.

The spelling of 1014769665 in words is "one billion, fourteen million, seven hundred sixty-nine thousand, six hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 441 455 585 637 735 819 1365 1911 2205 3185 4095 5733 9555 28665 35401 106203 177005 247807 318609 460213 531015 743421 1239035 1380639 1593045 1734649 2230263 2301065 3221491 3717105 4141917 5203947 6903195 8673245 9664473 11151315 15611841 16107455 20709585 22550437 26019735 28993419 48322365 67651311 78059205 112752185 144967095 202953933 338256555 1014769665