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1668069312 = 26371395471
BaseRepresentation
bin110001101101100…
…1011011111000000
311022020202200220220
41203123023133000
511404011204222
6433304303040
756223232560
oct14333133700
94266680826
101668069312
11786644188
123a6771a80
13207779880
1411b772da0
159b697b5c
hex636cb7c0

1668069312 has 112 divisors (see below), whose sum is σ = 5431974912. Its totient is φ = 439925760.

The previous prime is 1668069307. The next prime is 1668069383. The reversal of 1668069312 is 2139608661.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30264 + ... + 65207.

It is an arithmetic number, because the mean of its divisors is an integer number (48499776).

Almost surely, 21668069312 is an apocalyptic number.

1668069312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1668069312 is an abundant number, since it is smaller than the sum of its proper divisors (3763905600).

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

1668069312 is a wasteful number, since it uses less digits than its factorization.

1668069312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95506 (or 95496 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1668069312 is about 40842.0042603200. The cubic root of 1668069312 is about 1185.9636122215.

The spelling of 1668069312 in words is "one billion, six hundred sixty-eight million, sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 95471 190942 286413 381884 572826 668297 763768 1145652 1241123 1336594 1527536 2004891 2291304 2482246 2673188 3055072 3723369 4009782 4582608 4964492 5346376 6110144 7446738 8019564 8687861 9165216 9928984 10692752 14893476 16039128 17375722 18330432 19857968 21385504 26063583 29786952 32078256 34751444 39715936 42771008 52127166 59573904 64156512 69502888 79431872 104254332 119147808 128313024 139005776 208508664 238295616 278011552 417017328 556023104 834034656 1668069312