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55363394016000 = 2832537331101179
BaseRepresentation
bin11001001011010010010110…
…11011110001001100000000
321021000200121010020002201200
430211221023123301030000
524224033212332003000
6313425331520501200
714442605341356000
oct1445511333611400
9237020533202650
1055363394016000
1116705535668404
12626196877a800
1324b79902821c5
14d95861636000
156601e0217500
hex325a4b6f1300

55363394016000 has 3456 divisors, whose sum is σ = 243540670464000. Its totient is φ = 12057292800000.

The previous prime is 55363394015977. The next prime is 55363394016011. The reversal of 55363394016000 is 61049336355.

55363394016000 is a `hidden beast` number, since 5 + 5 + 3 + 6 + 3 + 39 + 4 + 0 + 1 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 309292703911 + ... + 309292704089.

It is an arithmetic number, because the mean of its divisors is an integer number (70468944000).

Almost surely, 255363394016000 is an apocalyptic number.

55363394016000 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 55363394016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121770335232000).

55363394016000 is an abundant number, since it is smaller than the sum of its proper divisors (188177276448000).

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

55363394016000 is a wasteful number, since it uses less digits than its factorization.

55363394016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 55363394016000 in words is "fifty-five trillion, three hundred sixty-three billion, three hundred ninety-four million, sixteen thousand".