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1690664508 = 2233132211439
BaseRepresentation
bin110010011000101…
…0111111000111100
311100211021122201000
41210301113320330
511430302231013
6435432450300
756616261021
oct14461277074
94324248630
101690664508
117983772a5
123b2249990
1320c35b300
14120775548
159d65c973
hex64c57e3c

1690664508 has 144 divisors (see below), whose sum is σ = 4779667200. Its totient is φ = 516559680.

The previous prime is 1690664461. The next prime is 1690664527. The reversal of 1690664508 is 8054660961.

It is a super-2 number, since 2×16906645082 = 5716692957221764128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3850953 + ... + 3851391.

Almost surely, 21690664508 is an apocalyptic number.

1690664508 is a gapful number since it is divisible by the number (18) 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 1690664508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389833600).

1690664508 is an abundant number, since it is smaller than the sum of its proper divisors (3089002692).

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

1690664508 is a wasteful number, since it uses less digits than its factorization.

1690664508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1690664508 is about 41117.6909371137. The cubic root of 1690664508 is about 1191.2945232819.

The spelling of 1690664508 in words is "one billion, six hundred ninety million, six hundred sixty-four thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 211 234 338 351 422 439 468 507 633 676 702 844 878 1014 1266 1317 1404 1521 1756 1899 2028 2532 2634 2743 3042 3798 3951 4563 5268 5486 5697 5707 6084 7596 7902 8229 9126 10972 11394 11414 11853 15804 16458 17121 18252 22788 22828 23706 24687 32916 34242 35659 47412 49374 51363 68484 71318 74061 74191 92629 98748 102726 106977 142636 148122 148382 154089 185258 205452 213954 222573 277887 296244 296764 308178 320931 370516 427908 445146 555774 616356 641862 667719 833661 890292 962793 1111548 1204177 1283724 1335438 1667322 1925586 2003157 2408354 2500983 2670876 3334644 3612531 3851172 4006314 4816708 5001966 7225062 8012628 10003932 10837593 14450124 15654301 21675186 31308602 32512779 43350372 46962903 62617204 65025558 93925806 130051116 140888709 187851612 281777418 422666127 563554836 845332254 1690664508