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54458852448 = 253721113194261
BaseRepresentation
bin110010101110000000…
…000010010001100000
312012120022221100022010
4302232000002101200
51343012431234243
641003522112520
73635353415400
oct625600022140
9165508840263
1054458852448
1121106669980
12a67a1ab740
13519b76a560
1428c89a8800
15163b056433
hexcae002460

54458852448 has 576 divisors, whose sum is σ = 205697076480. Its totient is φ = 12366950400.

The previous prime is 54458852339. The next prime is 54458852473. The reversal of 54458852448 is 84425885445.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12778638 + ... + 12782898.

It is an arithmetic number, because the mean of its divisors is an integer number (357112980).

Almost surely, 254458852448 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 54458852448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102848538240).

54458852448 is an abundant number, since it is smaller than the sum of its proper divisors (151238224032).

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

54458852448 is a wasteful number, since it uses less digits than its factorization.

54458852448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4316 counting only the distinct ones).

The product of its digits is 32768000, while the sum is 57.

The spelling of 54458852448 in words is "fifty-four billion, four hundred fifty-eight million, eight hundred fifty-two thousand, four hundred forty-eight".