Search a number
-
+
52408666405662 = 2377918738433133
BaseRepresentation
bin10111110101010010101111…
…11100011011101100011110
320212120012221001221111201020
423322221113330123230132
523332130422044440122
6303244113045425010
714016254416153050
oct1372512774335436
9225505831844636
1052408666405662
11157764329930a6
125a6519840b166
132332167c14b68
14cd28432358d0
1560d40a2b9c5c
hex2faa57f1bb1e

52408666405662 has 64 divisors (see below), whose sum is σ = 121372363130880. Its totient is φ = 14776466425344.

The previous prime is 52408666405651. The next prime is 52408666405679. The reversal of 52408666405662 is 26650466680425.

It is a junction number, because it is equal to n+sod(n) for n = 52408666405596 and 52408666405605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1998048 + ... + 10431180.

It is an arithmetic number, because the mean of its divisors is an integer number (1896443173920).

Almost surely, 252408666405662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52408666405662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60686181565440).

52408666405662 is an abundant number, since it is smaller than the sum of its proper divisors (68963696725218).

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

52408666405662 is a wasteful number, since it uses less digits than its factorization.

52408666405662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8435097.

The product of its (nonzero) digits is 99532800, while the sum is 60.

The spelling of 52408666405662 in words is "fifty-two trillion, four hundred eight billion, six hundred sixty-six million, four hundred five thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 42 79 158 237 474 553 1106 1659 1873 3318 3746 5619 11238 13111 26222 39333 78666 147967 295934 443901 887802 1035769 2071538 3107307 6214614 8433133 16866266 25299399 50598798 59031931 118063862 177095793 354191586 666217507 1332435014 1998652521 3997305042 4663522549 9327045098 13990567647 15795258109 27981135294 31590516218 47385774327 94771548654 110566806763 221133613526 331700420289 663400840578 1247825390611 2495650781222 3743476171833 7486952343666 8734777734277 17469555468554 26204333202831 52408666405662