Search a number
-
+
44063000916 = 22311599775791
BaseRepresentation
bin101001000010010111…
…000000100101010100
311012201211022100221220
4221002113000211110
51210220112012131
632124155010340
73116631220344
oct510227004524
9135654270856
1044063000916
1117761462840
1286587399b0
134202a61b0c
1421c0040d24
15122d553e96
hexa425c0954

44063000916 has 96 divisors (see below), whose sum is σ = 114197852160. Its totient is φ = 13110412800.

The previous prime is 44063000837. The next prime is 44063000921. The reversal of 44063000916 is 61900036044.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7605981 + ... + 7611771.

It is an arithmetic number, because the mean of its divisors is an integer number (1189560960).

Almost surely, 244063000916 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 44063000916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57098926080).

44063000916 is an abundant number, since it is smaller than the sum of its proper divisors (70134851244).

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

44063000916 is a wasteful number, since it uses less digits than its factorization.

44063000916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6845 (or 6843 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 44063000916 in words is "forty-four billion, sixty-three million, nine hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 977 1298 1947 1954 2596 2931 3894 3908 5791 5862 7788 10747 11582 11724 17373 21494 23164 32241 34746 42988 57643 63701 64482 69492 115286 127402 128964 172929 191103 230572 254804 341669 345858 382206 634073 683338 691716 764412 1025007 1268146 1366676 1902219 2050014 2536292 3758359 3804438 4100028 5657807 7516718 7608876 11275077 11315614 15033436 16973421 22550154 22631228 33946842 45100308 62235877 67893684 124471754 186707631 248943508 333810613 373415262 667621226 746830524 1001431839 1335242452 2002863678 3671916743 4005727356 7343833486 11015750229 14687666972 22031500458 44063000916