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316253332053 = 32475359373641
BaseRepresentation
bin1001001101000100010…
…10101110001001010101
31010020022020102211210100
410212202022232021111
520140141323111203
6401141302244313
731564023653151
oct4464212561125
91106266384710
10316253332053
1111213884122a
1251360726699
1323a90223059
14114419ba061
15835e545ea3
hex49a22ae255

316253332053 has 96 divisors (see below), whose sum is σ = 485440750080. Its totient is φ = 198181601280.

The previous prime is 316253332037. The next prime is 316253332081. The reversal of 316253332053 is 350233352613.

316253332053 is a `hidden beast` number, since 3 + 1 + 625 + 3 + 3 + 3 + 20 + 5 + 3 = 666.

It is not a de Polignac number, because 316253332053 - 24 = 316253332037 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 316253331999 and 316253332017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316253337053) 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 95 ways as a sum of consecutive naturals, for example, 493374613 + ... + 493375253.

It is an arithmetic number, because the mean of its divisors is an integer number (5056674480).

Almost surely, 2316253332053 is an apocalyptic number.

It is an amenable number.

316253332053 is a deficient number, since it is larger than the sum of its proper divisors (169187418027).

316253332053 is a wasteful number, since it uses less digits than its factorization.

316253332053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 36.

Adding to 316253332053 its reverse (350233352613), we get a palindrome (666486684666).

The spelling of 316253332053 in words is "three hundred sixteen billion, two hundred fifty-three million, three hundred thirty-two thousand, fifty-three".

Divisors: 1 3 9 47 53 59 141 159 177 373 423 477 531 641 1119 1923 2491 2773 3127 3357 5769 7473 8319 9381 17531 19769 22007 22419 24957 28143 30127 33973 37819 52593 59307 66021 90381 101919 113457 146969 157779 177921 198063 239093 271143 305757 340371 440907 717279 929143 1034329 1166371 1322721 1596731 1777493 2004407 2151837 2787429 3102987 3499113 4790193 5332479 6013221 8362287 9308961 10497339 11237371 12671929 14106487 14370579 15997437 18039663 33712113 38015787 42319461 54819437 94207129 101136339 114047361 126958383 164458311 282621387 493374933 595580663 663004889 747643811 847864161 1786741989 1989014667 2242931433 5360225967 5967044001 6728794299 35139259117 105417777351 316253332053