Search a number
-
+
54556443235632 = 24313263332434211
BaseRepresentation
bin11000110011110011010010…
…11010110101010100110000
321011011112201022222010121010
430121321221122311110300
524122323043432020012
6312010514541030520
714330400344042112
oct1431715132652460
9234145638863533
1054556443235632
1116424291a17528
1261514a2555440
13245985c273a50
14d687900c73b2
15649211acec3c
hex319e696b5530

54556443235632 has 80 divisors (see below), whose sum is σ = 152355929096448. Its totient is φ = 16722770499840.

The previous prime is 54556443235627. The next prime is 54556443235633. The reversal of 54556443235632 is 23653234465545.

54556443235632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54556443235633) 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 15 ways as a sum of consecutive naturals, for example, 166052994 + ... + 166381217.

Almost surely, 254556443235632 is an apocalyptic number.

54556443235632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

54556443235632 is an abundant number, since it is smaller than the sum of its proper divisors (97799485860816).

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

54556443235632 is a wasteful number, since it uses less digits than its factorization.

54556443235632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332434498 (or 332434492 counting only the distinct ones).

The product of its digits is 155520000, while the sum is 57.

The spelling of 54556443235632 in words is "fifty-four trillion, five hundred fifty-six billion, four hundred forty-three million, two hundred thirty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 263 312 526 624 789 1052 1578 2104 3156 3419 4208 6312 6838 10257 12624 13676 20514 27352 41028 54704 82056 164112 332434211 664868422 997302633 1329736844 1994605266 2659473688 3989210532 4321644743 5318947376 7978421064 8643289486 12964934229 15956842128 17286578972 25929868458 34573157944 51859736916 69146315888 87430197493 103719473832 174860394986 207438947664 262290592479 349720789972 524581184958 699441579944 1049162369916 1136592567409 1398883159888 2098324739832 2273185134818 3409777702227 4196649479664 4546370269636 6819555404454 9092740539272 13639110808908 18185481078544 27278221617816 54556443235632