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54012708622760 = 235171973792772617
BaseRepresentation
bin11000100011111110100000…
…10011111001000110101000
321002020120020112100220002212
430101333100103321012220
524034421011401412020
6310513032405144252
714243201162064446
oct1421772023710650
9232216215326085
1054012708622760
111623472aa00078
1260840369bb088
13241a4b8421324
14d4a32c705b96
15639edb6b2cc5
hex311fd04f91a8

54012708622760 has 512 divisors, whose sum is σ = 139598629632000. Its totient is φ = 18684711272448.

The previous prime is 54012708622751. The next prime is 54012708622793. The reversal of 54012708622760 is 6722680721045.

54012708622760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54012708622699 and 54012708622708.

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, 20639168972 + ... + 20639171588.

It is an arithmetic number, because the mean of its divisors is an integer number (272653573500).

Almost surely, 254012708622760 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 54012708622760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69799314816000).

54012708622760 is an abundant number, since it is smaller than the sum of its proper divisors (85585921009240).

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

54012708622760 is a wasteful number, since it uses less digits than its factorization.

54012708622760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 50.

The spelling of 54012708622760 in words is "fifty-four trillion, twelve billion, seven hundred eight million, six hundred twenty-two thousand, seven hundred sixty".