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54634964648940 = 2233513113151456119
BaseRepresentation
bin11000110110000101100011…
…01010010000001111101100
321011110001101121212012222000
430123002301222100033230
524130114401422231230
6312110542315252300
714336150233042254
oct1433026152201754
9234401347765860
1054634964648940
1116454616239535
12616475714a090
132464093c730a0
14d6c4bc734964
1564b2aa383b60
hex31b0b1a903ec

54634964648940 has 384 divisors, whose sum is σ = 185893785907200. Its totient is φ = 13241287987200.

The previous prime is 54634964648923. The next prime is 54634964648977. The reversal of 54634964648940 is 4984646943645.

54634964648940 is a `hidden beast` number, since 5 + 4 + 6 + 3 + 49 + 6 + 464 + 89 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119554201 + ... + 120010319.

It is an arithmetic number, because the mean of its divisors is an integer number (484098400800).

Almost surely, 254634964648940 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 54634964648940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92946892953600).

54634964648940 is an abundant number, since it is smaller than the sum of its proper divisors (131258821258260).

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

54634964648940 is a wasteful number, since it uses less digits than its factorization.

54634964648940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456414 (or 456406 counting only the distinct ones).

The product of its (nonzero) digits is 2149908480, while the sum is 72.

The spelling of 54634964648940 in words is "fifty-four trillion, six hundred thirty-four billion, nine hundred sixty-four million, six hundred forty-eight thousand, nine hundred forty".