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1668431856 = 243713675701
BaseRepresentation
bin110001101110010…
…0011111111110000
311022021110010020110
41203130203333300
511404104304411
6433320141320
756226302550
oct14334437760
94267403213
101668431856
11786871603
123a6907840
132078758b0
1411b829160
159b71a2a6
hex63723ff0

1668431856 has 160 divisors (see below), whose sum is σ = 5384877568. Its totient is φ = 433382400.

The previous prime is 1668431839. The next prime is 1668431879. The reversal of 1668431856 is 6581348661.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289806 + ... + 295506.

Almost surely, 21668431856 is an apocalyptic number.

1668431856 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 1668431856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692438784).

1668431856 is an abundant number, since it is smaller than the sum of its proper divisors (3716445712).

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

1668431856 is a wasteful number, since it uses less digits than its factorization.

1668431856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5799 (or 5793 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 1668431856 is about 40846.4423909843. The cubic root of 1668431856 is about 1186.0495264863.

The spelling of 1668431856 in words is "one billion, six hundred sixty-eight million, four hundred thirty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 67 78 84 91 104 112 134 156 168 182 201 208 268 273 312 336 364 402 469 536 546 624 728 804 871 938 1072 1092 1407 1456 1608 1742 1876 2184 2613 2814 3216 3484 3752 4368 5226 5628 5701 6097 6968 7504 10452 11256 11402 12194 13936 17103 18291 20904 22512 22804 24388 34206 36582 39907 41808 45608 48776 68412 73164 74113 79814 91216 97552 119721 136824 146328 148226 159628 222339 239442 273648 292656 296452 319256 381967 444678 478884 518791 592904 638512 763934 889356 957768 1037582 1145901 1185808 1527868 1556373 1778712 1915536 2075164 2291802 2673769 3055736 3112746 3557424 4150328 4583604 4965571 5347538 6111472 6225492 8021307 8300656 9167208 9931142 10695076 12450984 14896713 16042614 18334416 19862284 21390152 24901968 29793426 32085228 34758997 39724568 42780304 59586852 64170456 69517994 79449136 104276991 119173704 128340912 139035988 208553982 238347408 278071976 417107964 556143952 834215928 1668431856