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54320923953 = 3267790711393
BaseRepresentation
bin110010100101110001…
…111000010100110001
312012012201101211222100
4302211301320110301
51342222124031303
640542113531013
73632060143452
oct624561702461
9165181354870
1054320923953
112104582218a
12a63bb73a69
13517900706a
1428b4543129
15162ddad8a3
hexca5c78531

54320923953 has 24 divisors (see below), whose sum is σ = 79651716768. Its totient is φ = 35665800192.

The previous prime is 54320923949. The next prime is 54320923957. The reversal of 54320923953 is 35932902345.

It is a happy number.

54320923953 is a `hidden beast` number, since 54 + 3 + 209 + 2 + 395 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (54320923949) and next prime (54320923957).

It is not a de Polignac number, because 54320923953 - 22 = 54320923949 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54320923899 and 54320923908.

It is not an unprimeable number, because it can be changed into a prime (54320923957) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4762225 + ... + 4773617.

It is an arithmetic number, because the mean of its divisors is an integer number (3318821532).

Almost surely, 254320923953 is an apocalyptic number.

It is an amenable number.

54320923953 is a deficient number, since it is larger than the sum of its proper divisors (25330792815).

54320923953 is a wasteful number, since it uses less digits than its factorization.

54320923953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19373 (or 19370 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 54320923953 in words is "fifty-four billion, three hundred twenty million, nine hundred twenty-three thousand, nine hundred fifty-three".

Divisors: 1 3 9 67 201 603 7907 11393 23721 34179 71163 102537 529769 763331 1589307 2289993 4767921 6869979 90084451 270253353 810760059 6035658217 18106974651 54320923953