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1688559191690 = 257231097956057
BaseRepresentation
bin11000100100100101111…
…110001000011010001010
312222102110121000112122212
4120210211332020122022
5210131132123113230
63331414031345122
7232665033212210
oct30444576103212
95872417015585
101688559191690
115a1128708a08
122333070821a2
13c32cc3ac107
145ba260d2cb0
152ddcb209895
hex18925f8868a

1688559191690 has 64 divisors (see below), whose sum is σ = 3627941819904. Its totient is φ = 553258134528.

The previous prime is 1688559191681. The next prime is 1688559191699. The reversal of 1688559191690 is 961919558861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1688559191681) and next prime (1688559191699).

It is a super-2 number, since 2×16885591916902 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 1688559191690.

It is not an unprimeable number, because it can be changed into a prime (1688559191699) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1288142 + ... + 2244198.

It is an arithmetic number, because the mean of its divisors is an integer number (56686590936).

Almost surely, 21688559191690 is an apocalyptic number.

1688559191690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1688559191690 is an abundant number, since it is smaller than the sum of its proper divisors (1939382628214).

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

1688559191690 is a wasteful number, since it uses less digits than its factorization.

1688559191690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957191.

The product of its (nonzero) digits is 41990400, while the sum is 68.

The spelling of 1688559191690 in words is "one trillion, six hundred eighty-eight billion, five hundred fifty-nine million, one hundred ninety-one thousand, six hundred ninety".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 230 322 805 1097 1610 2194 5485 7679 10970 15358 25231 38395 50462 76790 126155 176617 252310 353234 883085 956057 1766170 1912114 4780285 6692399 9560570 13384798 21989311 33461995 43978622 66923990 109946555 153925177 219893110 307850354 769625885 1048794529 1539251770 2097589058 5243972645 7341561703 10487945290 14683123406 24122274167 36707808515 48244548334 73415617030 120611370835 168855919169 241222741670 337711838338 844279595845 1688559191690