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54375374067 = 37192574491181
BaseRepresentation
bin110010101001000001…
…100101110011110011
312012100111212012111020
4302221001211303303
51342330043432232
640551340550523
73633321024240
oct625101456363
9165314765436
1054375374067
1121073532383
12a656252443
13518738cb71
1428bb8785c7
151633a66e2c
hexca9065cf3

54375374067 has 64 divisors (see below), whose sum is σ = 87827328000. Its totient is φ = 29231677440.

The previous prime is 54375374063. The next prime is 54375374083. The reversal of 54375374067 is 76047357345.

54375374067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54375374067 - 22 = 54375374063 is a prime.

It is a super-2 number, since 2×543753740672 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54375374063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46041217 + ... + 46042397.

It is an arithmetic number, because the mean of its divisors is an integer number (1372302000).

Almost surely, 254375374067 is an apocalyptic number.

54375374067 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

54375374067 is a deficient number, since it is larger than the sum of its proper divisors (33451953933).

54375374067 is a wasteful number, since it uses less digits than its factorization.

54375374067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916.

The product of its (nonzero) digits is 7408800, while the sum is 51.

The spelling of 54375374067 in words is "fifty-four billion, three hundred seventy-five million, three hundred seventy-four thousand, sixty-seven".

Divisors: 1 3 7 19 21 57 133 257 399 449 771 1181 1347 1799 3143 3543 4883 5397 8267 8531 9429 14649 22439 24801 25593 34181 59717 67317 102543 115393 157073 179151 303517 346179 471219 530269 807751 910551 1590807 2124619 2192467 2423253 3711883 5766823 6373857 6577401 10075111 11135649 15347269 17300469 30225333 40367761 46041807 70525777 121103283 136279133 211577331 408837399 953953931 2589303527 2861861793 7767910581 18125124689 54375374067