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669258532864 = 2111753362693
BaseRepresentation
bin10011011110100101110…
…10101100100000000000
32100222110210000001200001
421233102322230200000
541431120141022424
61231241513005344
766231564444625
oct11572272544000
92328423001601
10669258532864
11238915aa3409
12a98593b3854
134b1595a71bc
142456c60a34c
1512620319844
hex9bd2eac800

669258532864 has 96 divisors (see below), whose sum is σ = 1443645435960. Its totient is φ = 309001977856.

The previous prime is 669258532841. The next prime is 669258532867. The reversal of 669258532864 is 468235852966.

It can be written as a sum of positive squares in 4 ways, for example, as 633310372864 + 35948160000 = 795808^2 + 189600^2 .

It is a super-2 number, since 2×6692585328642 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 669258532796 and 669258532805.

It is not an unprimeable number, because it can be changed into a prime (669258532867) 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 7 ways as a sum of consecutive naturals, for example, 1663902 + ... + 2026594.

Almost surely, 2669258532864 is an apocalyptic number.

669258532864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 669258532864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721822717980).

669258532864 is an abundant number, since it is smaller than the sum of its proper divisors (774386903096).

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

669258532864 is a wasteful number, since it uses less digits than its factorization.

669258532864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362785 (or 362765 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 64.

The spelling of 669258532864 in words is "six hundred sixty-nine billion, two hundred fifty-eight million, five hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 256 272 424 512 544 848 901 1024 1088 1696 1802 2048 2176 3392 3604 4352 6784 7208 8704 13568 14416 17408 27136 28832 34816 54272 57664 108544 115328 230656 362693 461312 725386 922624 1450772 1845248 2901544 5803088 6165781 11606176 12331562 19222729 23212352 24663124 38445458 46424704 49326248 76890916 92849408 98652496 153781832 185698816 197304992 307563664 326786393 371397632 394609984 615127328 653572786 742795264 789219968 1230254656 1307145572 1578439936 2460509312 2614291144 3156879872 4921018624 5228582288 6313759744 9842037248 10457164576 12627519488 19684074496 20914329152 39368148992 41828658304 83657316608 167314633216 334629266432 669258532864