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316134561645 = 32571761319629
BaseRepresentation
bin1001001100110110001…
…01101001011101101101
31010012222221221200102100
410212123011221131231
520134420421433040
6401121420445313
731561052302560
oct4463305513555
91105887850370
10316134561645
1111208779a271
12513289a9839
1323a717399c6
141142dd004d7
158353dd4b30
hex499b16976d

316134561645 has 96 divisors (see below), whose sum is σ = 663262629120. Its totient is φ = 135981250560.

The previous prime is 316134561623. The next prime is 316134561661. The reversal of 316134561645 is 546165431613.

316134561645 is a `hidden beast` number, since 3 + 16 + 1 + 34 + 561 + 6 + 45 = 666.

It is not a de Polignac number, because 316134561645 - 227 = 316000343917 is a prime.

It is a super-3 number, since 3×3161345616453 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 316134561645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32826691 + ... + 32836319.

It is an arithmetic number, because the mean of its divisors is an integer number (6908985720).

Almost surely, 2316134561645 is an apocalyptic number.

316134561645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

316134561645 is an abundant number, since it is smaller than the sum of its proper divisors (347128067475).

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

316134561645 is a wasteful number, since it uses less digits than its factorization.

316134561645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15795 (or 15792 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 316134561645 in words is "three hundred sixteen billion, one hundred thirty-four million, five hundred sixty-one thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 6131 9629 18393 28887 30655 42917 48145 55179 67403 86661 91965 104227 128751 144435 163693 202209 214585 275895 312681 337015 386253 433305 491079 521135 606627 643755 729589 818465 938043 1011045 1145851 1473237 1563405 1931265 2188767 2455395 3033135 3437553 3647945 4690215 5729255 6566301 7366185 10312659 10943835 17187765 32831505 51563295 59035399 177106197 295176995 413247793 531318591 885530985 1003601783 1239743379 2066238965 2656592955 3010805349 3719230137 5018008915 6198716895 7025212481 9032416047 15054026745 18596150685 21075637443 35126062405 45162080235 63226912329 105378187215 316134561645