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54988053120 = 27335711213172
BaseRepresentation
bin110011001101100010…
…110001101010000000
312020221012201112011000
4303031202301222000
51400103420144440
641132224452000
73654440511450
oct631542615200
9166835645130
1054988053120
1121358360200
12a7a747a000
1352542a7850
142938da1d60
15166c73b730
hexccd8b1a80

54988053120 has 2304 divisors, whose sum is σ = 279872006400. Its totient is φ = 9926737920.

The previous prime is 54988053101. The next prime is 54988053139. The reversal of 54988053120 is 2135088945.

54988053120 is a `hidden beast` number, since 5 + 4 + 98 + 8 + 0 + 531 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (54988053101) and next prime (54988053139).

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 287 ways as a sum of consecutive naturals, for example, 3234591352 + ... + 3234591368.

It is an arithmetic number, because the mean of its divisors is an integer number (121472225).

Almost surely, 254988053120 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 54988053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139936003200).

54988053120 is an abundant number, since it is smaller than the sum of its proper divisors (224883953280).

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

54988053120 is a wasteful number, since it uses less digits than its factorization.

54988053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 54988053120 in words is "fifty-four billion, nine hundred eighty-eight million, fifty-three thousand, one hundred twenty".