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54741888000 = 2103253194161
BaseRepresentation
bin110010111110110111…
…101110110000000000
312020022001112001002100
4302332313232300000
51344102410404000
641051552350400
73645361241052
oct627667566000
9166261461070
1054741888000
1121241406758
12a738b45400
1352152a8807
1429144038d2
151655d13a00
hexcbedeec00

54741888000 has 1056 divisors, whose sum is σ = 216200537280. Its totient is φ = 13271040000.

The previous prime is 54741887999. The next prime is 54741888011. The reversal of 54741888000 is 88814745.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 897407970 + ... + 897408030.

Almost surely, 254741888000 is an apocalyptic number.

54741888000 is a gapful number since it is divisible by the number (50) 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 54741888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108100268640).

54741888000 is an abundant number, since it is smaller than the sum of its proper divisors (161458649280).

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

54741888000 is a wasteful number, since it uses less digits than its factorization.

54741888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 54741888000 in words is "fifty-four billion, seven hundred forty-one million, eight hundred eighty-eight thousand".