Search a number
-
+
54334035840 = 273576736007
BaseRepresentation
bin110010100110100011…
…111001011110000000
312012020122002000002210
4302212203321132000
51342234003121330
640543302542120
73632306453520
oct624643713600
9165218060083
1054334035840
1121052168357
12a644437940
13517b948186
1428b6197680
1516300ed8b0
hexca68f9780

54334035840 has 256 divisors, whose sum is σ = 198258232320. Its totient is φ = 12398690304.

The previous prime is 54334035827. The next prime is 54334035857. The reversal of 54334035840 is 4853043345.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9042117 + ... + 9048123.

It is an arithmetic number, because the mean of its divisors is an integer number (774446220).

Almost surely, 254334035840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54334035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99129116160).

54334035840 is an abundant number, since it is smaller than the sum of its proper divisors (143924196480).

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

54334035840 is a wasteful number, since it uses less digits than its factorization.

54334035840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 54334035840 in words is "fifty-four billion, three hundred thirty-four million, thirty-five thousand, eight hundred forty".