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54248690790 = 23357232291871
BaseRepresentation
bin110010100001011110…
…010101010001100110
312012000200111000201000
4302201132111101212
51342100131101130
640531013414130
73630222156240
oct624136252146
9165020430630
1054248690790
1121008a76358
12a61b93a346
135167065c48
1428a8add090
151627891260
hexca1795466

54248690790 has 384 divisors, whose sum is σ = 178885324800. Its totient is φ = 11445477120.

The previous prime is 54248690753. The next prime is 54248690809. The reversal of 54248690790 is 9709684245.

54248690790 is a `hidden beast` number, since 5 + 4 + 2 + 486 + 90 + 79 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 28993555 + ... + 28995425.

It is an arithmetic number, because the mean of its divisors is an integer number (465847200).

Almost surely, 254248690790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54248690790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89442662400).

54248690790 is an abundant number, since it is smaller than the sum of its proper divisors (124636634010).

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

54248690790 is a wasteful number, since it uses less digits than its factorization.

54248690790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 54248690790 in words is "fifty-four billion, two hundred forty-eight million, six hundred ninety thousand, seven hundred ninety".