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1683170016 = 253112473083
BaseRepresentation
bin110010001010011…
…0010001011100000
311100022011220012020
41210110302023200
511421342420031
6435004101440
756465465133
oct14424621340
94308156166
101683170016
11794118600
123ab834880
1320a935cb8
1411d78421a
159cb7c096
hex645322e0

1683170016 has 144 divisors (see below), whose sum is σ = 4961440512. Its totient is φ = 499037440.

The previous prime is 1683170009. The next prime is 1683170023. The reversal of 1683170016 is 6100713861.

It is an interprime number because it is at equal distance from previous prime (1683170009) and next prime (1683170023).

It is a super-2 number, since 2×16831700162 = 5666122605522880512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 544411 + ... + 547493.

It is an arithmetic number, because the mean of its divisors is an integer number (34454448).

Almost surely, 21683170016 is an apocalyptic number.

1683170016 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 1683170016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480720256).

1683170016 is an abundant number, since it is smaller than the sum of its proper divisors (3278270496).

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

1683170016 is a wasteful number, since it uses less digits than its factorization.

1683170016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1683170016 is about 41026.4550747441. The cubic root of 1683170016 is about 1189.5316321723.

Adding to 1683170016 its reverse (6100713861), we get a palindrome (7783883877).

The spelling of 1683170016 in words is "one billion, six hundred eighty-three million, one hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 121 132 141 176 188 242 264 282 352 363 376 484 517 528 564 726 752 968 1034 1056 1128 1452 1504 1551 1936 2068 2256 2904 3083 3102 3872 4136 4512 5687 5808 6166 6204 8272 9249 11374 11616 12332 12408 16544 17061 18498 22748 24664 24816 33913 34122 36996 45496 49328 49632 67826 68244 73992 90992 98656 101739 135652 136488 144901 147984 181984 203478 271304 272976 289802 295968 373043 406956 434703 542608 545952 579604 746086 813912 869406 1085216 1119129 1159208 1492172 1593911 1627824 1738812 2238258 2318416 2984344 3187822 3255648 3477624 4476516 4636832 4781733 5968688 6375644 6955248 8953032 9563466 11937376 12751288 13910496 17533021 17906064 19126932 25502576 35066042 35812128 38253864 51005152 52599063 70132084 76507728 105198126 140264168 153015456 210396252 280528336 420792504 561056672 841585008 1683170016