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57983852484 = 223317229137911
BaseRepresentation
bin110110000000000110…
…110101111111000100
312112122222211220022000
4312000012311333010
51422222331234414
642345403105300
74121615420415
oct660006657704
9175588756260
1057983852484
1122655411648
12b2a2812230
135610b4b0ac
142b40bd380c
151795750b09
hexd801b5fc4

57983852484 has 96 divisors (see below), whose sum is σ = 159867590400. Its totient is φ = 18111444480.

The previous prime is 57983852461. The next prime is 57983852489. The reversal of 57983852484 is 48425838975.

57983852484 is a `hidden beast` number, since 5 + 7 + 9 + 8 + 385 + 248 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (57983852489) 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 31 ways as a sum of consecutive naturals, for example, 351489 + ... + 489399.

It is an arithmetic number, because the mean of its divisors is an integer number (1665287400).

Almost surely, 257983852484 is an apocalyptic number.

57983852484 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57983852484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79933795200).

57983852484 is an abundant number, since it is smaller than the sum of its proper divisors (101883737916).

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

57983852484 is a wasteful number, since it uses less digits than its factorization.

57983852484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138170 (or 138162 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 57983852484 in words is "fifty-seven billion, nine hundred eighty-three million, eight hundred fifty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 229 306 458 459 612 687 916 918 1374 1836 2061 2748 3893 4122 6183 7786 8244 11679 12366 15572 23358 24732 35037 46716 70074 105111 137911 140148 210222 275822 413733 420444 551644 827466 1241199 1654932 2344487 2482398 3723597 4688974 4964796 7033461 7447194 9377948 14066922 14894388 21100383 28133844 31581619 42200766 63163238 63301149 84401532 94744857 126326476 126602298 189489714 253204596 284234571 378979428 536887523 568469142 852703713 1073775046 1136938284 1610662569 1705407426 2147550092 3221325138 3410814852 4831987707 6442650276 9663975414 14495963121 19327950828 28991926242 57983852484