Search a number
-
+
43454204653626 = 232135311161313933
BaseRepresentation
bin10011110000101011110000…
…11011101011000000111010
312200212011220020101100211100
421320111320123223000322
521143423202342404001
6232230330325512230
712103314462130014
oct1170257033530072
9180764806340740
1043454204653626
1112933908750748
124a59871272676
131b32938620630
14aa32a248d1b4
155055248ec586
hex2785786eb03a

43454204653626 has 96 divisors (see below), whose sum is σ = 103315807485072. Its totient is φ = 13117033313280.

The previous prime is 43454204653583. The next prime is 43454204653633. The reversal of 43454204653626 is 62635640245434.

43454204653626 is a `hidden beast` number, since 4 + 3 + 4 + 5 + 4 + 2 + 0 + 4 + 6 + 5 + 3 + 626 = 666.

43454204653626 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1344475035225 + 42109729618401 = 1159515^2 + 6489201^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138261756 + ... + 138575688.

Almost surely, 243454204653626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43454204653626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51657903742536).

43454204653626 is an abundant number, since it is smaller than the sum of its proper divisors (59861602831446).

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

43454204653626 is a wasteful number, since it uses less digits than its factorization.

43454204653626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325168 (or 325165 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 54.

The spelling of 43454204653626 in words is "forty-three trillion, four hundred fifty-four billion, two hundred four million, six hundred fifty-three thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 2067 4134 6201 11161 12402 22322 33483 66966 100449 145093 200898 290186 313933 435279 591533 627866 870558 941799 1183066 1305837 1774599 1883598 2611674 2825397 3549198 4081129 5323797 5650794 7689929 8162258 10647594 12243387 15379858 16638449 23069787 24486774 33276898 36730161 46139574 49915347 69209361 73460322 99830694 138418722 149746041 216299837 299492082 432599674 648899511 1297799022 1946698533 3503806213 3893397066 7007612426 10511418639 21022837278 31534255917 45549480769 63068511834 91098961538 136648442307 185701729289 273296884614 371403458578 409945326921 557105187867 819890653842 1114210375734 1671315563601 2414122480757 3342631127202 4828244961514 7242367442271 14484734884542 21727102326813 43454204653626