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57154755740064 = 25343131105691823
BaseRepresentation
bin11001111111011011000001…
…11010011100000110100000
321111100221102012100101022120
430333231200322130012200
524442410414432140224
6321320310551304240
715016203061653063
oct1477554072340640
9244327365311276
1057154755740064
1117236217659474
1264b0b8407b080
1325b7893976818
14101843aa6c8da
15691ad66e6779
hex33fb60e9c1a0

57154755740064 has 96 divisors (see below), whose sum is σ = 154692244675584. Its totient is φ = 18466475139840.

The previous prime is 57154755740059. The next prime is 57154755740113. The reversal of 57154755740064 is 46004755745175.

57154755740064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×571547557400642 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52305144 + ... + 53386679.

It is an arithmetic number, because the mean of its divisors is an integer number (1611377548704).

Almost surely, 257154755740064 is an apocalyptic number.

It is an amenable number.

57154755740064 is an abundant number, since it is smaller than the sum of its proper divisors (97537488935520).

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

57154755740064 is a wasteful number, since it uses less digits than its factorization.

57154755740064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105692010 (or 105692002 counting only the distinct ones).

The product of its (nonzero) digits is 82320000, while the sum is 60.

The spelling of 57154755740064 in words is "fifty-seven trillion, one hundred fifty-four billion, seven hundred fifty-five million, seven hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 131 172 258 262 344 393 516 524 688 786 1032 1048 1376 1572 2064 2096 3144 4128 4192 5633 6288 11266 12576 16899 22532 33798 45064 67596 90128 135192 180256 270384 540768 105691823 211383646 317075469 422767292 634150938 845534584 1268301876 1691069168 2536603752 3382138336 4544748389 5073207504 9089496778 10146415008 13634245167 13845628813 18178993556 27268490334 27691257626 36357987112 41536886439 54536980668 55382515252 72715974224 83073772878 109073961336 110765030504 145431948448 166147545756 218147922672 221530061008 332295091512 436295845344 443060122016 595362038959 664590183024 1190724077918 1329180366048 1786086116877 2381448155836 3572172233754 4762896311672 7144344467508 9525792623344 14288688935016 19051585246688 28577377870032 57154755740064