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57382257444 = 2231131391671823
BaseRepresentation
bin110101011100001111…
…111100001100100100
312111010001211201001020
4311130033330030210
51420004324214234
642205552531140
74100662066131
oct653417741444
9174101751036
1057382257444
1122376874366
12b155250ab0
1355463144b5
142ac4d53588
15175ca1a549
hexd5c3fc324

57382257444 has 96 divisors (see below), whose sum is σ = 136938332160. Its totient is φ = 18698792448.

The previous prime is 57382257437. The next prime is 57382257467. The reversal of 57382257444 is 44475228375.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31475917 + ... + 31477739.

It is an arithmetic number, because the mean of its divisors is an integer number (1426440960).

Almost surely, 257382257444 is an apocalyptic number.

It is an amenable number.

57382257444 is an abundant number, since it is smaller than the sum of its proper divisors (79556074716).

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

57382257444 is a wasteful number, since it uses less digits than its factorization.

57382257444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2247 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 51.

The spelling of 57382257444 in words is "fifty-seven billion, three hundred eighty-two million, two hundred fifty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 113 139 167 226 278 334 339 417 452 501 556 668 678 834 1002 1356 1668 1823 2004 3646 5469 7292 10938 15707 18871 21876 23213 31414 37742 46426 47121 56613 62828 69639 75484 92852 94242 113226 139278 188484 205999 226452 253397 278556 304441 411998 506794 608882 617997 760191 823996 913323 1013588 1217764 1235994 1520382 1826646 2471988 2623069 3040764 3653292 5246138 7869207 10492276 15738414 28633861 31476828 34401833 42317299 57267722 68803666 84634598 85901583 103205499 114535444 126951897 137607332 169269196 171803166 206410998 253903794 343606332 412821996 507807588 4781854787 9563709574 14345564361 19127419148 28691128722 57382257444