Search a number
-
+
3445961850876 = 2231971367580031
BaseRepresentation
bin110010001001010011010…
…101001111111111111100
3110012102122000011120212010
4302021103111033333330
5422424312213212001
611155015241411220
7503651101305246
oct62112325177774
913172560146763
103445961850876
1111094736a09a6
12477a25799b10
131bcc504202bc
14bcadd385096
155e9862238d6
hex3225354fffc

3445961850876 has 96 divisors (see below), whose sum is σ = 8606375608320. Its totient is φ = 1069946539200.

The previous prime is 3445961850839. The next prime is 3445961850931. The reversal of 3445961850876 is 6780581695443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5650981 + ... + 6231011.

It is an arithmetic number, because the mean of its divisors is an integer number (89649745920).

Almost surely, 23445961850876 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 3445961850876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303187804160).

3445961850876 is an abundant number, since it is smaller than the sum of its proper divisors (5160413757444).

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

3445961850876 is a wasteful number, since it uses less digits than its factorization.

3445961850876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580495 (or 580493 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 66.

The spelling of 3445961850876 in words is "three trillion, four hundred forty-five billion, nine hundred sixty-one million, eight hundred fifty thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 12 19 38 57 71 76 114 142 213 228 284 367 426 734 852 1101 1349 1468 2202 2698 4047 4404 5396 6973 8094 13946 16188 20919 26057 27892 41838 52114 78171 83676 104228 156342 312684 495083 580031 990166 1160062 1485249 1740093 1980332 2320124 2970498 3480186 5940996 6960372 11020589 22041178 33061767 41182201 44082356 66123534 82364402 123546603 132247068 164728804 212871377 247093206 425742754 494186412 638614131 782461819 851485508 1277228262 1564923638 2347385457 2554456524 3129847276 4044556163 4694770914 8089112326 9389541828 12133668489 15113867767 16178224652 24267336978 30227735534 45341603301 48534673956 60455471068 90683206602 181366413204 287163487573 574326975146 861490462719 1148653950292 1722980925438 3445961850876