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1638668988 = 2233113074493
BaseRepresentation
bin110000110101100…
…0001101010111100
311020012110000021000
41201223001222330
511323444401423
6430334210300
755415312415
oct14153015274
94205400230
101638668988
11770a932a0
12398953990
13201654828
141178bc80c
1598cdb843
hex61ac1abc

1638668988 has 96 divisors (see below), whose sum is σ = 4650750720. Its totient is φ = 494838720.

The previous prime is 1638668957. The next prime is 1638668989. The reversal of 1638668988 is 8898668361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1638668989) 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, 362470 + ... + 366962.

It is an arithmetic number, because the mean of its divisors is an integer number (48445320).

Almost surely, 21638668988 is an apocalyptic number.

1638668988 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 1638668988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325375360).

1638668988 is an abundant number, since it is smaller than the sum of its proper divisors (3012081732).

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

1638668988 is a wasteful number, since it uses less digits than its factorization.

1638668988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4824 (or 4816 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The square root of 1638668988 is about 40480.4766276288. The cubic root of 1638668988 is about 1178.9545916768.

The spelling of 1638668988 in words is "one billion, six hundred thirty-eight million, six hundred sixty-eight thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 307 396 594 614 921 1188 1228 1842 2763 3377 3684 4493 5526 6754 8289 8986 10131 11052 13479 13508 16578 17972 20262 26958 30393 33156 40437 40524 49423 53916 60786 80874 91179 98846 121311 121572 148269 161748 182358 197692 242622 296538 364716 444807 485244 593076 889614 1334421 1379351 1779228 2668842 2758702 4138053 5337684 5517404 8276106 12414159 15172861 16552212 24828318 30345722 37242477 45518583 49656636 60691444 74484954 91037166 136555749 148969908 182074332 273111498 409667247 546222996 819334494 1638668988