Search a number
-
+
135474843084 = 2237339678297
BaseRepresentation
bin111111000101011101…
…1100000110111001100
3110221200110211002102220
41332022323200313030
54204423024434314
6142123012015340
712534123111000
oct1761273406714
9427613732386
10135474843084
1152500020839
122230a301550
13ca1021aa59
1467b2654700
1537cd8143a9
hex1f8aee0dcc

135474843084 has 96 divisors (see below), whose sum is σ = 368776396800. Its totient is φ = 38692676736.

The previous prime is 135474843073. The next prime is 135474843107. The reversal of 135474843084 is 480348474531.

135474843084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 16324024 + ... + 16332320.

It is an arithmetic number, because the mean of its divisors is an integer number (3841420800).

Almost surely, 2135474843084 is an apocalyptic number.

135474843084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135474843084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184388198400).

135474843084 is an abundant number, since it is smaller than the sum of its proper divisors (233301553716).

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

135474843084 is a wasteful number, since it uses less digits than its factorization.

135474843084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12292 (or 12276 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 135474843084 in words is "one hundred thirty-five billion, four hundred seventy-four million, eight hundred forty-three thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 3967 4116 7934 8297 11901 15868 16594 23802 24891 27769 33188 47604 49782 55538 58079 83307 99564 111076 116158 166614 174237 194383 232316 333228 348474 388766 406553 583149 696948 777532 813106 1166298 1219659 1360681 1626212 2332596 2439318 2721362 2845871 4082043 4878636 5442724 5691742 8164086 8537613 11383484 16328172 17075226 32914199 34150452 65828398 98742597 131656796 197485194 230399393 394970388 460798786 691198179 921597572 1382396358 1612795751 2764792716 3225591502 4838387253 6451183004 9676774506 11289570257 19353549012 22579140514 33868710771 45158281028 67737421542 135474843084