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54538536576 = 273532679763
BaseRepresentation
bin110010110010110000…
…000000011010000000
312012202212212201101010
4302302300000122000
51343143331132301
641015450040520
73640341624546
oct626260003200
9165685781333
1054538536576
1121147644827
12a6a0a19140
1351b2119c24
1428d53cbd96
1516430465d6
hexcb2c00680

54538536576 has 64 divisors (see below), whose sum is σ = 147601401120. Its totient is φ = 17836495872.

The previous prime is 54538536527. The next prime is 54538536589. The reversal of 54538536576 is 67563583545.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1319530 + ... + 1360233.

Almost surely, 254538536576 is an apocalyptic number.

It is an amenable number.

54538536576 is an abundant number, since it is smaller than the sum of its proper divisors (93062864544).

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

54538536576 is a wasteful number, since it uses less digits than its factorization.

54538536576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679833 (or 2679821 counting only the distinct ones).

The product of its digits is 45360000, while the sum is 57.

The spelling of 54538536576 in words is "fifty-four billion, five hundred thirty-eight million, five hundred thirty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 5088 6784 10176 20352 2679763 5359526 8039289 10719052 16078578 21438104 32157156 42876208 64314312 85752416 128628624 142027439 171504832 257257248 284054878 343009664 426082317 514514496 568109756 852164634 1029028992 1136219512 1704329268 2272439024 3408658536 4544878048 6817317072 9089756096 13634634144 18179512192 27269268288 54538536576