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54433400034 = 23138873
BaseRepresentation
bin110010101100011110…
…111100010011100010
312012111120001020011010
4302230132330103202
51342434422300114
641001212401350
73634624160166
oct625436742342
9165446036133
1054433400034
11210a3265122
12a671776256
1351963c8460
1428c5460ca6
151638bc9c59
hexcac7bc4e2

54433400034 has 32 divisors (see below), whose sum is σ = 117373495680. Its totient is φ = 16729856016.

The previous prime is 54433400033. The next prime is 54433400159. The reversal of 54433400034 is 43000433445.

It is a super-2 number, since 2×544334000342 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54433399974 and 54433400010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54433400033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61367539 + ... + 61368425.

It is an arithmetic number, because the mean of its divisors is an integer number (3667921740).

Almost surely, 254433400034 is an apocalyptic number.

54433400034 is an abundant number, since it is smaller than the sum of its proper divisors (62940095646).

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

54433400034 is an frugal number, since it uses more digits than its factorization.

54433400034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 54433400034 its reverse (43000433445), we get a palindrome (97433833479).

The spelling of 54433400034 in words is "fifty-four billion, four hundred thirty-three million, four hundred thousand, thirty-four".

Divisors: 1 2 3 6 13 26 39 78 887 1774 2661 5322 11531 23062 34593 69186 786769 1573538 2360307 4720614 10227997 20455994 30683991 61367982 697864103 1395728206 2093592309 4187184618 9072233339 18144466678 27216700017 54433400034