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57352563246 = 231124113011481
BaseRepresentation
bin110101011010011110…
…101010101000101110
312111000222222002021010
4311122132222220232
51414424224010441
642203012250050
74100151513126
oct653236525056
9174028862233
1057352563246
1122361032700
12b147310926
135540118774
142ac1023c86
15175a102116
hexd5a7aaa2e

57352563246 has 96 divisors (see below), whose sum is σ = 129342534048. Its totient is φ = 16931200000.

The previous prime is 57352563209. The next prime is 57352563253. The reversal of 57352563246 is 64236525375.

It is a junction number, because it is equal to n+sod(n) for n = 57352563195 and 57352563204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38724826 + ... + 38726306.

It is an arithmetic number, because the mean of its divisors is an integer number (1347318063).

Almost surely, 257352563246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57352563246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64671267024).

57352563246 is an abundant number, since it is smaller than the sum of its proper divisors (71989970802).

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

57352563246 is a wasteful number, since it uses less digits than its factorization.

57352563246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2839 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 48.

The spelling of 57352563246 in words is "fifty-seven billion, three hundred fifty-two million, five hundred sixty-three thousand, two hundred forty-six".

Divisors: 1 2 3 6 11 22 33 41 66 82 121 123 242 246 363 451 726 902 1301 1353 1481 2602 2706 2962 3903 4443 4961 7806 8886 9922 14311 14883 16291 28622 29766 32582 42933 48873 53341 60721 85866 97746 106682 121442 157421 160023 179201 182163 314842 320046 358402 364326 472263 537603 586751 667931 944526 1075206 1173502 1335862 1760253 1926781 2003793 3520506 3853562 4007586 5780343 6454261 7347241 11560686 12908522 14694482 19362783 21194591 22041723 38725566 42389182 44083446 63583773 78998021 127167546 157996042 233140501 236994063 466281002 473988126 699421503 868978231 1398843006 1737956462 2606934693 5213869386 9558760541 19117521082 28676281623 57352563246