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1669733856 = 253274120201
BaseRepresentation
bin110001110000110…
…0001110111100000
311022100220021020200
41203201201313200
511404422440411
6433404105200
756243334510
oct14341416740
94270807220
101669733856
1178758083a
123a7235200
13207c103cb
1411ba87840
159b8c5e56
hex63861de0

1669733856 has 144 divisors (see below), whose sum is σ = 5559267168. Its totient is φ = 465408000.

The previous prime is 1669733843. The next prime is 1669733861. The reversal of 1669733856 is 6583379661.

1669733856 is nontrivially palindromic in base 5.

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

It is a super-2 number, since 2×16697338562 = 5576022299745257472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72556 + ... + 92756.

It is an arithmetic number, because the mean of its divisors is an integer number (38606022).

Almost surely, 21669733856 is an apocalyptic number.

1669733856 is a gapful number since it is divisible by the number (16) 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 1669733856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779633584).

1669733856 is an abundant number, since it is smaller than the sum of its proper divisors (3889533312).

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

1669733856 is a wasteful number, since it uses less digits than its factorization.

1669733856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20265 (or 20254 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 1669733856 is about 40862.3770233696. The cubic root of 1669733856 is about 1186.3579668057.

The spelling of 1669733856 in words is "one billion, six hundred sixty-nine million, seven hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 369 492 504 574 656 672 738 861 984 1008 1148 1312 1476 1722 1968 2016 2296 2583 2952 3444 3936 4592 5166 5904 6888 9184 10332 11808 13776 20201 20664 27552 40402 41328 60603 80804 82656 121206 141407 161608 181809 242412 282814 323216 363618 424221 484824 565628 646432 727236 828241 848442 969648 1131256 1272663 1454472 1656482 1696884 1939296 2262512 2484723 2545326 2908944 3312964 3393768 4525024 4969446 5090652 5797687 5817888 6625928 6787536 7454169 9938892 10181304 11595374 13251856 13575072 14908338 17393061 19877784 20362608 23190748 26503712 29816676 34786122 39755568 40725216 46381496 52179183 59633352 69572244 79511136 92762992 104358366 119266704 139144488 185525984 208716732 238533408 278288976 417433464 556577952 834866928 1669733856