Search a number
-
+
54703748736 = 2733713312181
BaseRepresentation
bin110010111100100110…
…001111011010000000
312020012101202100212000
4302330212033122000
51344013124424421
641044111104000
73644416122630
oct627446173200
9166171670760
1054703748736
11212219270aa
12a728212000
13520a413bc0
14290d3166c0
1516527cd226
hexcbc98f680

54703748736 has 768 divisors, whose sum is σ = 206461382400. Its totient is φ = 13884825600.

The previous prime is 54703748731. The next prime is 54703748783. The reversal of 54703748736 is 63784730745.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54703748731) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 302230566 + ... + 302230746.

It is an arithmetic number, because the mean of its divisors is an integer number (268829925).

Almost surely, 254703748736 is an apocalyptic number.

54703748736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54703748736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103230691200).

54703748736 is an abundant number, since it is smaller than the sum of its proper divisors (151757633664).

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

54703748736 is a wasteful number, since it uses less digits than its factorization.

54703748736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 54703748736 in words is "fifty-four billion, seven hundred three million, seven hundred forty-eight thousand, seven hundred thirty-six".