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57351288050 = 25272316112379
BaseRepresentation
bin110101011010011001…
…110011010011110010
312111000220120022000122
4311122121303103302
51414423412204200
642202525050242
74100134622300
oct653231632362
9174026508018
1057351288050
1122360341621
12b1469b6982
13553ca90204
142ac0bb1270
151759e4e385
hexd5a6734f2

57351288050 has 144 divisors (see below), whose sum is σ = 130202737920. Its totient is φ = 18715536000.

The previous prime is 57351288041. The next prime is 57351288061. The reversal of 57351288050 is 5088215375.

It is a junction number, because it is equal to n+sod(n) for n = 57351287992 and 57351288010.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4626761 + ... + 4639139.

It is an arithmetic number, because the mean of its divisors is an integer number (904185680).

Almost surely, 257351288050 is an apocalyptic number.

57351288050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57351288050 is an abundant number, since it is smaller than the sum of its proper divisors (72851449870).

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

57351288050 is a wasteful number, since it uses less digits than its factorization.

57351288050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12497 (or 12485 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 44.

The spelling of 57351288050 in words is "fifty-seven billion, three hundred fifty-one million, two hundred eighty-eight thousand, fifty".

Divisors: 1 2 5 7 10 14 25 31 35 49 50 61 62 70 98 122 155 175 217 245 305 310 350 427 434 490 610 775 854 1085 1225 1519 1525 1550 1891 2135 2170 2450 2989 3038 3050 3782 4270 5425 5978 7595 9455 10675 10850 12379 13237 14945 15190 18910 21350 24758 26474 29890 37975 47275 61895 66185 74725 75950 86653 92659 94550 123790 132370 149450 173306 185318 309475 330925 383749 433265 463295 606571 618950 661850 755119 767498 866530 926590 1213142 1510238 1918745 2166325 2316475 2686243 3032855 3775595 3837490 4332650 4632950 5285833 5372486 6065710 7551190 9593725 10571666 13431215 15164275 18803701 18877975 19187450 23408689 26429165 26862430 30328550 37000831 37607402 37755950 46817378 52858330 67156075 74001662 94018505 117043445 132145825 134312150 163860823 185004155 188037010 234086890 264291650 327721646 370008310 470092525 585217225 819304115 925020775 940185050 1147025761 1170434450 1638608230 1850041550 2294051522 4096520575 5735128805 8193041150 11470257610 28675644025 57351288050