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54794170420992 = 28331929149223433
BaseRepresentation
bin11000111010101110000110…
…00100000100111100000000
321012000021022221121102001000
430131113003010010330000
524140221430111432432
6312312032215412000
714353514423552142
oct1435270304047400
9235007287542030
1054794170420992
11165060937a3462
12618b588984000
1324760b67cb132
14d760a2982c92
156504c723957c
hex31d5c3104f00

54794170420992 has 1152 divisors, whose sum is σ = 178838553600000. Its totient is φ = 16482058371072.

The previous prime is 54794170420987. The next prime is 54794170420993. The reversal of 54794170420992 is 29902407149745.

54794170420992 is a `hidden beast` number, since 5 + 4 + 7 + 9 + 417 + 0 + 4 + 209 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×547941704209922 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54794170420993) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126545428008 + ... + 126545428440.

It is an arithmetic number, because the mean of its divisors is an integer number (155241800000).

Almost surely, 254794170420992 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 54794170420992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89419276800000).

54794170420992 is an abundant number, since it is smaller than the sum of its proper divisors (124044383179008).

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

54794170420992 is a wasteful number, since it uses less digits than its factorization.

54794170420992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 54794170420992 in words is "fifty-four trillion, seven hundred ninety-four billion, one hundred seventy million, four hundred twenty thousand, nine hundred ninety-two".