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1689961988 = 2211213337797
BaseRepresentation
bin110010010111010…
…1100011000000100
311100202221222000202
41210232230120010
511430112240423
6435405430032
756610303611
oct14456543004
94322858022
101689961988
11797a37500
123b1b6b318
1320c173610
14120631508
159d56e728
hex64bac604

1689961988 has 72 divisors (see below), whose sum is σ = 3515582616. Its totient is φ = 706083840.

The previous prime is 1689961981. The next prime is 1689961991. The reversal of 1689961988 is 8891699861.

It can be written as a sum of positive squares in 4 ways, for example, as 8305924 + 1681656064 = 2882^2 + 41008^2 .

It is not an unprimeable number, because it can be changed into a prime (1689961981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2120006 + ... + 2120802.

Almost surely, 21689961988 is an apocalyptic number.

It is an amenable number.

1689961988 is an abundant number, since it is smaller than the sum of its proper divisors (1825620628).

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

1689961988 is a wasteful number, since it uses less digits than its factorization.

1689961988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1160 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 65.

The square root of 1689961988 is about 41109.1472545953. The cubic root of 1689961988 is about 1191.1294946455.

It can be divided in two parts, 16899 and 61988, that added together give a palindrome (78887).

The spelling of 1689961988 in words is "one billion, six hundred eighty-nine million, nine hundred sixty-one thousand, nine hundred eighty-eight".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 242 286 337 484 572 674 797 1348 1573 1594 3146 3188 3707 4381 6292 7414 8762 8767 10361 14828 17524 17534 20722 35068 40777 41444 48191 81554 96382 96437 113971 163108 192764 192874 227942 268589 385748 455884 530101 537178 1060202 1074356 1253681 2120404 2507362 2954479 3491657 5014724 5908958 6983314 11817916 13966628 32499269 38408227 64998538 76816454 129997076 153632908 422490497 844980994 1689961988