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54343644406146 = 2332004675020097
BaseRepresentation
bin11000101101100110111011…
…00111101110000110000010
321010102012110000102112201000
430112303131213232012002
524110331240431444041
6311325043043352430
714306125111611324
oct1426633547560602
9233365400375630
1054343644406146
11163520125932a7
1261181b4682716
132442778459bb4
14d5c364285614
15643909be4bb6
hex316cdd9ee182

54343644406146 has 32 divisors (see below), whose sum is σ = 120764280703680. Its totient is φ = 18114454165248.

The previous prime is 54343644406111. The next prime is 54343644406151. The reversal of 54343644406146 is 64160444634345.

54343644406146 is a `hidden beast` number, since 5 + 4 + 3 + 43 + 64 + 440 + 61 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 54343644406092 and 54343644406101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8315170 + ... + 13335266.

It is an arithmetic number, because the mean of its divisors is an integer number (3773883771990).

Almost surely, 254343644406146 is an apocalyptic number.

54343644406146 is an abundant number, since it is smaller than the sum of its proper divisors (66420636297534).

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

54343644406146 is a wasteful number, since it uses less digits than its factorization.

54343644406146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5220575 (or 5220569 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 54.

The spelling of 54343644406146 in words is "fifty-four trillion, three hundred forty-three billion, six hundred forty-four million, four hundred six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 200467 400934 601401 1202802 1804203 3608406 5020097 5412609 10040194 10825218 15060291 30120582 45180873 90361746 135542619 271085238 1006363785299 2012727570598 3019091355897 6038182711794 9057274067691 18114548135382 27171822203073 54343644406146