Search a number
-
+
45444319732 = 2272922776967
BaseRepresentation
bin101010010100101100…
…010100100111110100
311100022002111122011001
4222110230110213310
51221032221212412
632513221253044
73166103226040
oct522454244764
9140262448131
1045444319732
1118300152039
128983264184
134392c9c526
1422b168d020
1512ae958957
hexa94b149f4

45444319732 has 72 divisors (see below), whose sum is σ = 94484184704. Its totient is φ = 18733970304.

The previous prime is 45444319727. The next prime is 45444319733. The reversal of 45444319732 is 23791344454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45444319733) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6519313 + ... + 6526279.

Almost surely, 245444319732 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 45444319732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47242092352).

45444319732 is an abundant number, since it is smaller than the sum of its proper divisors (49039864972).

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

45444319732 is a wasteful number, since it uses less digits than its factorization.

45444319732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7313 (or 7282 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 46.

The spelling of 45444319732 in words is "forty-five billion, four hundred forty-four million, three hundred nineteen thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 116 203 277 406 554 812 841 1108 1682 1939 3364 3878 5887 6967 7756 8033 11774 13934 16066 23548 27868 32132 48769 56231 97538 112462 195076 202043 224924 232957 404086 465914 808172 931828 1414301 1630699 1929859 2828602 3261398 3859718 5657204 5859247 6522796 7719436 11718494 13509013 23436988 27018026 41014729 54036052 55965911 82029458 111931822 164058916 223863644 391761377 783522754 1567045508 1623011419 3246022838 6492045676 11361079933 22722159866 45444319732