Search a number
-
+
46441253451153 = 3112199964000669
BaseRepresentation
bin10101000111100111100100…
…11010100011010110010001
320002102201222210200101102210
422203303302122203112101
522041343141340414103
6242434452312102333
712532161361025241
oct1243636232432621
9202381883611383
1046441253451153
1113885696941300
1252607619949a9
131cbb511c05802
14b67aa92bdb21
1555809c12ce03
hex2a3cf26a3591

46441253451153 has 24 divisors (see below), whose sum is σ = 68096712880000. Its totient is φ = 28132133626080.

The previous prime is 46441253451139. The next prime is 46441253451167. The reversal of 46441253451153 is 35115435214464.

46441253451153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46441253451139) and next prime (46441253451167).

It is not a de Polignac number, because 46441253451153 - 24 = 46441253451137 is a prime.

It is a super-2 number, since 2×464412534511532 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46441253451133) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31274698 + ... + 32725971.

Almost surely, 246441253451153 is an apocalyptic number.

It is an amenable number.

46441253451153 is a deficient number, since it is larger than the sum of its proper divisors (21655459428847).

46441253451153 is a wasteful number, since it uses less digits than its factorization.

46441253451153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64002693 (or 64002682 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 48.

The spelling of 46441253451153 in words is "forty-six trillion, four hundred forty-one billion, two hundred fifty-three million, four hundred fifty-one thousand, one hundred fifty-three".

Divisors: 1 3 11 33 121 363 1999 5997 21989 65967 241879 725637 64000669 192002007 704007359 2112022077 7744080949 23232242847 127937337331 383812011993 1407310710641 4221932131923 15480417817051 46441253451153