Search a number
-
+
33505485039 = 321319531092609
BaseRepresentation
bin11111001101000101…
…010010000011101111
310012111001110222211100
4133031011102003233
51022104401010124
623220414454143
72264203631565
oct371505220357
9105431428740
1033505485039
1113233a77904
1265b0b04353
13320c7021c0
14189bc33a35
15d1176b1c9
hex7cd1520ef

33505485039 has 96 divisors (see below), whose sum is σ = 56432376000. Its totient is φ = 18981900288.

The previous prime is 33505485029. The next prime is 33505485047. The reversal of 33505485039 is 93058450533.

It is a happy number.

33505485039 is a `hidden beast` number, since 3 + 3 + 50 + 548 + 50 + 3 + 9 = 666.

It is not a de Polignac number, because 33505485039 - 28 = 33505484783 is a prime.

It is a super-2 number, since 2×335054850392 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33505484985 and 33505485003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33505485029) 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 95 ways as a sum of consecutive naturals, for example, 12840967 + ... + 12843575.

It is an arithmetic number, because the mean of its divisors is an integer number (587837250).

Almost surely, 233505485039 is an apocalyptic number.

33505485039 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

33505485039 is a deficient number, since it is larger than the sum of its proper divisors (22926890961).

33505485039 is a wasteful number, since it uses less digits than its factorization.

33505485039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 33505485039 in words is "thirty-three billion, five hundred five million, four hundred eighty-five thousand, thirty-nine".

Divisors: 1 3 9 13 19 39 53 57 109 117 159 171 247 327 477 689 741 981 1007 1417 2067 2071 2223 2609 3021 4251 5777 6201 6213 7827 9063 12753 13091 17331 18639 23481 26923 33917 39273 49571 51993 75101 80769 101751 109763 117819 138277 148713 225303 242307 284381 305253 329289 414831 446139 644423 675909 853143 987867 1244493 1426919 1797601 1933269 2559429 2627263 3696953 4280757 5392803 5403239 5799807 7881789 11090859 12842271 15072193 16178409 16209717 23645367 33272577 34154419 45216579 48629151 70242107 102463257 135649737 195938509 210726321 286371667 307389771 587815527 632178963 859115001 1763446581 2577345003 3722831671 11168495013 33505485039