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57275642214 = 23473312461
BaseRepresentation
bin110101010101111001…
…001111000101100110
312110211122020002110000
4311111321033011212
51414300031022324
642151223442130
74065225632430
oct652571170546
9173748202400
1057275642214
11223216747aa
12b1255b6346
13552a1c596b
142ab4b1d650
1517534aa9c9
hexd55e4f166

57275642214 has 120 divisors (see below), whose sum is σ = 147437723664. Its totient is φ = 16279639200.

The previous prime is 57275642201. The next prime is 57275642227. The reversal of 57275642214 is 41224657275.

57275642214 is a `hidden beast` number, since 5 + 72 + 7 + 564 + 2 + 2 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (57275642201) and next prime (57275642227).

It is a super-2 number, since 2×572756422142 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57275642214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 124241944 + ... + 124242404.

Almost surely, 257275642214 is an apocalyptic number.

57275642214 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57275642214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73718861832).

57275642214 is an abundant number, since it is smaller than the sum of its proper divisors (90162081450).

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

57275642214 is an equidigital number, since it uses as much as digits as its factorization.

57275642214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 804 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The spelling of 57275642214 in words is "fifty-seven billion, two hundred seventy-five million, six hundred forty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 331 378 461 567 662 922 993 1134 1383 1986 2317 2766 2979 3227 4149 4634 5958 6454 6951 8298 8937 9681 12447 13902 17874 19362 20853 24894 26811 29043 37341 41706 53622 58086 62559 74682 87129 109561 125118 152591 174258 187677 219122 261387 305182 328683 375354 457773 522774 657366 766927 915546 986049 1068137 1373319 1533854 1972098 2136274 2300781 2746638 2958147 3204411 4119957 4601562 5916294 6408822 6902343 8239914 8874441 9613233 12359871 13804686 17748882 19226466 20707029 24719742 28839699 41414058 50507621 57679398 62121087 86519097 101015242 124242174 151522863 173038194 303045726 353553347 454568589 707106694 909137178 1060660041 1363705767 2121320082 2727411534 3181980123 4091117301 6363960246 8182234602 9545940369 19091880738 28637821107 57275642214