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56754432526464 = 2732255231930259
BaseRepresentation
bin11001110011110001010111…
…10010100100100010000000
321102221200002222121001121200
430321320223302210202000
524414331034211321324
6320412343143421200
714645241513540261
oct1471705362444200
9242850088531550
1056754432526464
11170a14686379a2
126447480754800
132588bc63a063a
141002d019b2968
156864a6755ec9
hex339e2bca4880

56754432526464 has 96 divisors (see below), whose sum is σ = 163323274935600. Its totient is φ = 18917393155584.

The previous prime is 56754432526457. The next prime is 56754432526469. The reversal of 56754432526464 is 46462523445765.

It is a happy number.

56754432526464 is a `hidden beast` number, since 5 + 6 + 7 + 5 + 4 + 43 + 2 + 526 + 4 + 64 = 666.

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

It is a super-2 number, since 2×567544325264642 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56754432526469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28437367 + ... + 30367625.

Almost surely, 256754432526464 is an apocalyptic number.

It is an amenable number.

56754432526464 is an abundant number, since it is smaller than the sum of its proper divisors (106568842409136).

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

56754432526464 is a wasteful number, since it uses less digits than its factorization.

56754432526464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955802 (or 1955787 counting only the distinct ones).

The product of its digits is 580608000, while the sum is 63.

The spelling of 56754432526464 in words is "fifty-six trillion, seven hundred fifty-four billion, four hundred thirty-two million, five hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 25523 51046 76569 102092 153138 204184 229707 306276 408368 459414 612552 816736 918828 1225104 1633472 1837656 1930259 2450208 3266944 3675312 3860518 4900416 5790777 7350624 7721036 9800832 11581554 14701248 15442072 17372331 23163108 29402496 30884144 34744662 46326216 61768288 69489324 92652432 123536576 138978648 185304864 247073152 277957296 370609728 555914592 741219456 1111829184 2223658368 49266000457 98532000914 147798001371 197064001828 295596002742 394128003656 443394004113 591192005484 788256007312 886788008226 1182384010968 1576512014624 1773576016452 2364768021936 3153024029248 3547152032904 4729536043872 6306048058496 7094304065808 9459072087744 14188608131616 18918144175488 28377216263232 56754432526464