Search a number
-
+
313786968012 = 22337974278991
BaseRepresentation
bin1001001000011110010…
…10010010011111001100
31002222221100112120101000
410210033022102133030
520120113430434022
6400052435420300
731445635135350
oct4441712223714
91088840476330
10313786968012
11111092621441
1250992754690
132378926c84b
141128a203460
158267c616ac
hex490f2927cc

313786968012 has 96 divisors (see below), whose sum is σ = 939324323840. Its totient is φ = 88729136640.

The previous prime is 313786967983. The next prime is 313786968013. The reversal of 313786968012 is 210869687313.

It is a super-2 number, since 2×3137869680122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 313786968012.

It is not an unprimeable number, because it can be changed into a prime (313786968013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2066164 + ... + 2212827.

Almost surely, 2313786968012 is an apocalyptic number.

It is an amenable number.

313786968012 is an abundant number, since it is smaller than the sum of its proper divisors (625537355828).

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

313786968012 is a wasteful number, since it uses less digits than its factorization.

313786968012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279108 (or 4279100 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 313786968012 in words is "three hundred thirteen billion, seven hundred eighty-six million, nine hundred sixty-eight thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 97 108 126 189 194 252 291 378 388 582 679 756 873 1164 1358 1746 2037 2619 2716 3492 4074 5238 6111 8148 10476 12222 18333 24444 36666 73332 4278991 8557982 12836973 17115964 25673946 29952937 38510919 51347892 59905874 77021838 89858811 115532757 119811748 154043676 179717622 231065514 269576433 359435244 415062127 462131028 539152866 808729299 830124254 1078305732 1245186381 1617458598 1660248508 2490372762 2905434889 3234917196 3735559143 4980745524 5810869778 7471118286 8716304667 11206677429 11621739556 14942236572 17432609334 22413354858 26148914001 34865218668 44826709716 52297828002 78446742003 104595656004 156893484006 313786968012