Search a number
-
+
55073897472000 = 2133531141127313
BaseRepresentation
bin11001000010110111001000…
…00110000110000000000000
321020000000100121101220220110
430201123210012012000000
524204312320223101000
6313044333233111320
714412646343345121
oct1441334406060000
9236000317356813
1055073897472000
1116603788393060
1262158349b8540
1324965a5535c24
14d8583b46c048
156578e9c13850
hex3216e4186000

55073897472000 has 1792 divisors, whose sum is σ = 207084777209856. Its totient is φ = 12881756160000.

The previous prime is 55073897471963. The next prime is 55073897472001. The reversal of 55073897472000 is 27479837055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55073897472001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 175954943844 + ... + 175954944156.

It is an arithmetic number, because the mean of its divisors is an integer number (115560701568).

Almost surely, 255073897472000 is an apocalyptic number.

55073897472000 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 55073897472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103542388604928).

55073897472000 is an abundant number, since it is smaller than the sum of its proper divisors (152010879737856).

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

55073897472000 is a wasteful number, since it uses less digits than its factorization.

55073897472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 57.

The spelling of 55073897472000 in words is "fifty-five trillion, seventy-three billion, eight hundred ninety-seven million, four hundred seventy-two thousand".