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54427869413500 = 225311109252136013
BaseRepresentation
bin11000110000000011110011…
…10100101000000001111100
321010201020211210122020012211
430120001321310220001330
524113221234032213000
6311431452405510204
714315166225426532
oct1430017164500174
9233636753566184
1054427869413500
11163848033969a0
12613059b412364
13244a6ab9b505b
14d624741c6152
15645bd90827ba
hex318079d2807c

54427869413500 has 192 divisors, whose sum is σ = 130922114843520. Its totient is φ = 19602051840000.

The previous prime is 54427869413483. The next prime is 54427869413507. The reversal of 54427869413500 is 531496872445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54427869413507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511321494 + ... + 1511357506.

It is an arithmetic number, because the mean of its divisors is an integer number (681886014810).

It is a 1-persistent number, because it is pandigital, but 2⋅54427869413500 = 108855738827000 is not.

Almost surely, 254427869413500 is an apocalyptic number.

54427869413500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54427869413500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65461057421760).

54427869413500 is an abundant number, since it is smaller than the sum of its proper divisors (76494245430020).

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

54427869413500 is a wasteful number, since it uses less digits than its factorization.

54427869413500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38673 (or 38661 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 58.

The spelling of 54427869413500 in words is "fifty-four trillion, four hundred twenty-seven billion, eight hundred sixty-nine million, four hundred thirteen thousand, five hundred".