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54675010055232 = 2633712781353657
BaseRepresentation
bin11000110111010000001001…
…00011010110110001000000
321011120212202110100122012000
430123220010203112301000
524131243410033231412
6312141204115304000
714342065501266030
oct1433500443266100
9234525673318160
1054675010055232
111646a5a588aa36
1261704722ab000
132467aa6562b78
14d703dad618c0
1564c350d394dc
hex31ba048d6c40

54675010055232 has 224 divisors, whose sum is σ = 183711354435840. Its totient is φ = 15620165038080.

The previous prime is 54675010055227. The next prime is 54675010055327. The reversal of 54675010055232 is 23255001057645.

It is a happy number.

54675010055232 is a `hidden beast` number, since 5 + 4 + 6 + 7 + 50 + 10 + 0 + 552 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154422148 + ... + 154775804.

It is an arithmetic number, because the mean of its divisors is an integer number (820139975160).

Almost surely, 254675010055232 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 54675010055232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91855677217920).

54675010055232 is an abundant number, since it is smaller than the sum of its proper divisors (129036344380608).

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

54675010055232 is a wasteful number, since it uses less digits than its factorization.

54675010055232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366466 (or 366450 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 54675010055232 in words is "fifty-four trillion, six hundred seventy-five billion, ten million, fifty-five thousand, two hundred thirty-two".