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54948348000 = 2533537135591
BaseRepresentation
bin110011001011001011…
…010100000001100000
312020211110000021222000
4303023023110001200
51400013234114000
641124245444000
73653446152210
oct631313240140
9166743007860
1054948348000
1121337a01157
12a796110600
135248cb52b0
1429339c8240
151668ee7000
hexccb2d4060

54948348000 has 768 divisors, whose sum is σ = 246212628480. Its totient is φ = 11591424000.

The previous prime is 54948347977. The next prime is 54948348079. The reversal of 54948348000 is 84384945.

It is a happy number.

54948348000 is a `hidden beast` number, since 5 + 4 + 94 + 83 + 480 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9825205 + ... + 9830795.

It is an arithmetic number, because the mean of its divisors is an integer number (320589360).

Almost surely, 254948348000 is an apocalyptic number.

54948348000 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 54948348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123106314240).

54948348000 is an abundant number, since it is smaller than the sum of its proper divisors (191264280480).

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

54948348000 is a wasteful number, since it uses less digits than its factorization.

54948348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 54948348000 in words is "fifty-four billion, nine hundred forty-eight million, three hundred forty-eight thousand".