Search a number
-
+
3678679034670 = 235537146370381
BaseRepresentation
bin110101100010000010010…
…110110110101100101110
3111000200022110121102011110
4311202002112312230232
5440232413313102140
611453543430332450
7526530044603613
oct65420226665456
914020273542143
103678679034670
111199134459572
124b4b521ba126
13208b89a26613
14ca0986d850a
1565a56aed380
hex358825b6b2e

3678679034670 has 128 divisors (see below), whose sum is σ = 9141939376128. Its totient is φ = 946853107200.

The previous prime is 3678679034603. The next prime is 3678679034671. The reversal of 3678679034670 is 764309768763.

3678679034670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3678679034671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52232880 + ... + 52303260.

It is an arithmetic number, because the mean of its divisors is an integer number (71421401376).

Almost surely, 23678679034670 is an apocalyptic number.

3678679034670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3678679034670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570969688064).

3678679034670 is an abundant number, since it is smaller than the sum of its proper divisors (5463260341458).

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

3678679034670 is a wasteful number, since it uses less digits than its factorization.

3678679034670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70978.

The product of its (nonzero) digits is 192036096, while the sum is 66.

The spelling of 3678679034670 in words is "three trillion, six hundred seventy-eight billion, six hundred seventy-nine million, thirty-four thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 53 71 106 142 159 213 265 318 355 426 463 530 710 795 926 1065 1389 1590 2130 2315 2778 3763 4630 6945 7526 11289 13890 18815 22578 24539 32873 37630 49078 56445 65746 70381 73617 98619 112890 122695 140762 147234 164365 197238 211143 245390 328730 351905 368085 422286 493095 703810 736170 986190 1055715 1742269 2111430 3484538 3730193 4997051 5226807 7460386 8711345 9994102 10453614 11190579 14991153 17422690 18650965 22381158 24985255 26134035 29982306 32586403 37301930 49970510 52268070 55952895 65172806 74955765 97759209 111905790 149911530 162932015 195518418 264843703 325864030 488796045 529687406 794531109 977592090 1324218515 1589062218 1727079359 2313634613 2648437030 3454158718 3972655545 4627269226 5181238077 6940903839 7945311090 8635396795 10362476154 11568173065 13881807678 17270793590 23136346130 25906190385 34704519195 51812380770 69409038390 122622634489 245245268978 367867903467 613113172445 735735806934 1226226344890 1839339517335 3678679034670