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55410504714240 = 2113513223613757
BaseRepresentation
bin11001001100101010000110…
…11100110100100000000000
321021012012012100022112110020
430212111003130310200000
524230321203201323430
6313503122350333440
714446163650606314
oct1446250334644000
9237165170275406
1055410504714240
11167235103a9265
12626ab15aba280
1324bc25a558800
14d97c50337b44
1566154b0d2b10
hex326543734800

55410504714240 has 1152 divisors, whose sum is σ = 200893116453120. Its totient is φ = 13007997370368.

The previous prime is 55410504714221. The next prime is 55410504714247. The reversal of 55410504714240 is 4241740501455.

It is a junction number, because it is equal to n+sod(n) for n = 55410504714192 and 55410504714201.

It is not an unprimeable number, because it can be changed into a prime (55410504714247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73197495942 + ... + 73197496698.

It is an arithmetic number, because the mean of its divisors is an integer number (174386385810).

Almost surely, 255410504714240 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 55410504714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100446558226560).

55410504714240 is an abundant number, since it is smaller than the sum of its proper divisors (145482611738880).

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

55410504714240 is a wasteful number, since it uses less digits than its factorization.

55410504714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 42.

The spelling of 55410504714240 in words is "fifty-five trillion, four hundred ten billion, five hundred four million, seven hundred fourteen thousand, two hundred forty".