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54616415123616 = 253682337833783
BaseRepresentation
bin11000110101100011000000…
…00001011011100010100000
321011101021111212122200220120
430122301200001123202200
524124313404232423431
6312054233522440240
714334622452503433
oct1432614001334240
9234337455580816
1054616415123616
1116447767543615
12616103ab03080
1324623c8c3a3b8
14d6b63cd3d81a
1564aa71b2d196
hex31ac6005b8a0

54616415123616 has 48 divisors (see below), whose sum is σ = 143368471761984. Its totient is φ = 18205423192064.

The previous prime is 54616415123609. The next prime is 54616415123639. The reversal of 54616415123616 is 61632151461645.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 65087461 + ... + 65921243.

It is an arithmetic number, because the mean of its divisors is an integer number (2986843161708).

Almost surely, 254616415123616 is an apocalyptic number.

It is an amenable number.

54616415123616 is an abundant number, since it is smaller than the sum of its proper divisors (88752056638368).

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

54616415123616 is a wasteful number, since it uses less digits than its factorization.

54616415123616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516133 (or 1516125 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The spelling of 54616415123616 in words is "fifty-four trillion, six hundred sixteen billion, four hundred fifteen million, one hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 682337 833783 1364674 1667566 2047011 2501349 2729348 3335132 4094022 5002698 5458696 6670264 8188044 10005396 10917392 13340528 16376088 20010792 21834784 26681056 32752176 40021584 65504352 80043168 568920990871 1137841981742 1706762972613 2275683963484 3413525945226 4551367926968 6827051890452 9102735853936 13654103780904 18205471707872 27308207561808 54616415123616