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1669326048 = 2532134310369
BaseRepresentation
bin110001101111111…
…1110010011100000
311022100010112211200
41203133332103200
511404321413143
6433351241200
756240015535
oct14337762340
94270115750
101669326048
11787322405
123a7079200
13207ac98c0
1411b9bcd8c
159b8451d3
hex637fe4e0

1669326048 has 144 divisors (see below), whose sum is σ = 5231706480. Its totient is φ = 501645312.

The previous prime is 1669326031. The next prime is 1669326049. The reversal of 1669326048 is 8406239661.

1669326048 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 32 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1669325994 and 1669326012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1669326049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155808 + ... + 166176.

It is an arithmetic number, because the mean of its divisors is an integer number (36331295).

Almost surely, 21669326048 is an apocalyptic number.

1669326048 is a gapful number since it is divisible by the number (18) 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 1669326048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615853240).

1669326048 is an abundant number, since it is smaller than the sum of its proper divisors (3562380432).

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

1669326048 is a wasteful number, since it uses less digits than its factorization.

1669326048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10441 (or 10430 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1669326048 is about 40857.3867005710. The cubic root of 1669326048 is about 1186.2613754316.

The spelling of 1669326048 in words is "one billion, six hundred sixty-nine million, three hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 72 78 86 96 104 117 129 144 156 172 208 234 258 288 312 344 387 416 468 516 559 624 688 774 936 1032 1118 1248 1376 1548 1677 1872 2064 2236 3096 3354 3744 4128 4472 5031 6192 6708 8944 10062 10369 12384 13416 17888 20124 20738 26832 31107 40248 41476 53664 62214 80496 82952 93321 124428 134797 160992 165904 186642 248856 269594 331808 373284 404391 445867 497712 539188 746568 808782 891734 995424 1078376 1213173 1337601 1493136 1617564 1783468 2156752 2426346 2675202 2986272 3235128 3566936 4012803 4313504 4852692 5350404 5796271 6470256 7133872 8025606 9705384 10700808 11592542 12940512 14267744 16051212 17388813 19410768 21401616 23185084 32102424 34777626 38821536 42803232 46370168 52166439 64204848 69555252 92740336 104332878 128409696 139110504 185480672 208665756 278221008 417331512 556442016 834663024 1669326048