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54542986416 = 24332337891667
BaseRepresentation
bin110010110011000000…
…111110110010110000
312012210012020210102000
4302303000332302300
51343201001031131
641020125254000
73640424510052
oct626300766260
9165705223360
1054542986416
112114a103a86
12a6a2404300
1351b3017479
1428d5c298d2
151643624ce6
hexcb303ecb0

54542986416 has 320 divisors, whose sum is σ = 169767705600. Its totient is φ = 16720349184.

The previous prime is 54542986397. The next prime is 54542986427. The reversal of 54542986416 is 61468924545.

It is a happy number.

54542986416 is a `hidden beast` number, since 5 + 4 + 542 + 9 + 86 + 4 + 16 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32718415 + ... + 32720081.

It is an arithmetic number, because the mean of its divisors is an integer number (530524080).

Almost surely, 254542986416 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 54542986416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84883852800).

54542986416 is an abundant number, since it is smaller than the sum of its proper divisors (115224719184).

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

54542986416 is a wasteful number, since it uses less digits than its factorization.

54542986416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1821 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 54542986416 in words is "fifty-four billion, five hundred forty-two million, nine hundred eighty-six thousand, four hundred sixteen".