Search a number
-
+
2031773199488 = 271943492
BaseRepresentation
bin11101100100001111000…
…111101010110010000000
321012020100202201121202022
4131210033013222302000
5231242032414340423
64153214514541012
7266535143146514
oct35441707526200
97166322647668
102031773199488
1171374100393a
12289930897768
131197980c4926
14704a45d6144
1537cb7618dc8
hex1d90f1eac80

2031773199488 has 120 divisors (see below), whose sum is σ = 4284819496305. Its totient is φ = 959661236736.

The previous prime is 2031773199487. The next prime is 2031773199497. The reversal of 2031773199488 is 8849913771302.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1913662755904 + 118110443584 = 1383352^2 + 343672^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1007912.

It is a self number, because there is not a number n which added to its sum of digits gives 2031773199488.

It is not an unprimeable number, because it can be changed into a prime (2031773199487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5821699538 + ... + 5821699886.

Almost surely, 22031773199488 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 2031773199488

2031773199488 is an abundant number, since it is smaller than the sum of its proper divisors (2253046296817).

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

2031773199488 is an frugal number, since it uses more digits than its factorization.

2031773199488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 62.

The spelling of 2031773199488 in words is "two trillion, thirty-one billion, seven hundred seventy-three million, one hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 349 361 608 698 722 1216 1396 1444 2432 2792 2888 5584 5776 6631 6859 11168 11552 13262 13718 22336 23104 26524 27436 44672 46208 53048 54872 106096 109744 121801 125989 130321 212192 219488 243602 251978 260642 424384 438976 487204 503956 521284 848768 877952 974408 1007912 1042568 1948816 2015824 2085136 2314219 2393791 3897632 4031648 4170272 4628438 4787582 7795264 8063296 8340544 9256876 9575164 15590528 16126592 16681088 18513752 19150328 37027504 38300656 43970161 45482029 74055008 76601312 87940322 90964058 148110016 153202624 175880644 181928116 296220032 306405248 351761288 363856232 703522576 727712464 835433059 1407045152 1455424928 1670866118 2814090304 2910849856 3341732236 5628180608 5821699712 6683464472 13366928944 15873228121 26733857888 31746456242 53467715776 63492912484 106935431552 126985824968 253971649936 507943299872 1015886599744 2031773199488