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1688662696 = 237219211933
BaseRepresentation
bin110010010100110…
…1111001010101000
311100200111221201211
41210221233022220
511424244201241
6435321522504
756563252600
oct14451571250
94320457654
101688662696
1179722a306
123b1643434
1320bb0a0c6
141203b3c00
159d3b4781
hex64a6f2a8

1688662696 has 72 divisors (see below), whose sum is σ = 3887560170. Its totient is φ = 685564992.

The previous prime is 1688662681. The next prime is 1688662697. The reversal of 1688662696 is 6962668861.

It can be written as a sum of positive squares in only one way, i.e., 1177450596 + 511212100 = 34314^2 + 22610^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1688662696.

It is not an unprimeable number, because it can be changed into a prime (1688662697) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 135546 + ... + 147478.

Almost surely, 21688662696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1688662696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943780085).

1688662696 is an abundant number, since it is smaller than the sum of its proper divisors (2198897474).

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

1688662696 is a wasteful number, since it uses less digits than its factorization.

1688662696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11991 (or 11961 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 58.

The square root of 1688662696 is about 41093.3412610851. The cubic root of 1688662696 is about 1190.8241580317.

The spelling of 1688662696 in words is "one billion, six hundred eighty-eight million, six hundred sixty-two thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 361 392 532 722 931 1064 1444 1862 2527 2888 3724 5054 7448 10108 11933 17689 20216 23866 35378 47732 70756 83531 95464 141512 167062 226727 334124 453454 584717 668248 906908 1169434 1587089 1813816 2338868 3174178 4307813 4677736 6348356 8615626 11109623 12696712 17231252 22219246 30154691 34462504 44438492 60309382 88876984 120618764 211082837 241237528 422165674 844331348 1688662696