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54378804480 = 28357211134347
BaseRepresentation
bin110010101001001110…
…101011010100000000
312012100202022111010120
4302221032223110000
51342331433220410
640551542300240
73633362132400
oct625116532400
9165322274116
1054378804480
1121075465730
12a657427680
135187cc13b0
1428bc0cc800
151633ee3570
hexca93ab500

54378804480 has 1728 divisors, whose sum is σ = 248033415168. Its totient is φ = 9970974720.

The previous prime is 54378804439. The next prime is 54378804497. The reversal of 54378804480 is 8440887345.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1156995817 + ... + 1156995863.

It is an arithmetic number, because the mean of its divisors is an integer number (143537856).

Almost surely, 254378804480 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 54378804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124016707584).

54378804480 is an abundant number, since it is smaller than the sum of its proper divisors (193654610688).

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

54378804480 is a wasteful number, since it uses less digits than its factorization.

54378804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

It can be divided in two parts, 54378 and 804480, that added together give a palindrome (858858).

The spelling of 54378804480 in words is "fifty-four billion, three hundred seventy-eight million, eight hundred four thousand, four hundred eighty".