Search a number
-
+
4495779812608 = 28724231035413
BaseRepresentation
bin100000101101100000101…
…0110111101010100000000
3120220210101121212200101221
41001123001112331110000
51042124324113000413
613321155512004424
7642544420612240
oct101330126752400
916823347780357
104495779812608
111483716554897
1260738b690714
13267c4781ccb6
1411784dc93b20
157be2b37268d
hex416c15bd500

4495779812608 has 72 divisors (see below), whose sum is σ = 10260240375168. Its totient is φ = 1925965719552.

The previous prime is 4495779812591. The next prime is 4495779812677. The reversal of 4495779812608 is 8062189775944.

It is a super-2 number, since 2×44957798126082 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3824310 + ... + 4859722.

It is an arithmetic number, because the mean of its divisors is an integer number (142503338544).

Almost surely, 24495779812608 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 4495779812608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130120187584).

4495779812608 is an abundant number, since it is smaller than the sum of its proper divisors (5764460562560).

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

4495779812608 is a wasteful number, since it uses less digits than its factorization.

4495779812608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037859 (or 1037845 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 70.

The spelling of 4495779812608 in words is "four trillion, four hundred ninety-five billion, seven hundred seventy-nine million, eight hundred twelve thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 2423 4846 9692 16961 19384 33922 38768 67844 77536 135688 155072 271376 310144 542752 620288 1035413 1085504 2070826 2171008 4141652 4342016 7247891 8283304 14495782 16566608 28991564 33133216 57983128 66266432 115966256 132532864 231932512 265065728 463865024 927730048 1855460096 2508805699 5017611398 10035222796 17561639893 20070445592 35123279786 40140891184 70246559572 80281782368 140493119144 160563564736 280986238288 321127129472 561972476576 642254258944 1123944953152 2247889906304 4495779812608