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53981191232640 = 273257311391571979
BaseRepresentation
bin11000100011000011110011…
…01110100101110010000000
321002010112220000211120210200
430101201321232211302000
524033411434423421030
6310450341130125200
714241004145511630
oct1421417156456200
9232115800746720
1053981191232640
1116222327189421
126079abb880800
132417534888769
14d489bc94c6c0
15639294756d60
hex311879ba5c80

53981191232640 has 1536 divisors, whose sum is σ = 223010371584000. Its totient is φ = 11773177528320.

The previous prime is 53981191232629. The next prime is 53981191232659. The reversal of 53981191232640 is 4623219118935.

53981191232640 is a `hidden beast` number, since 5 + 3 + 98 + 1 + 191 + 2 + 326 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27277003171 + ... + 27277005149.

It is an arithmetic number, because the mean of its divisors is an integer number (145189044000).

Almost surely, 253981191232640 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 53981191232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111505185792000).

53981191232640 is an abundant number, since it is smaller than the sum of its proper divisors (169029180351360).

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

53981191232640 is a wasteful number, since it uses less digits than its factorization.

53981191232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 53981191232640 in words is "fifty-three trillion, nine hundred eighty-one billion, one hundred ninety-one million, two hundred thirty-two thousand, six hundred forty".