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137748462831 = 327331259787
BaseRepresentation
bin1000000001001001110…
…0101011110011101111
3111011112221000221101200
42000102130223303233
54224102101302311
6143140351340543
712644351421000
oct2002234536357
9434487027350
10137748462831
1153467463a21
1222843821753
13ccb3287695
14694a5b71a7
1538b3224556
hex201272bcef

137748462831 has 144 divisors (see below), whose sum is σ = 244135008000. Its totient is φ = 74788025760.

The previous prime is 137748462829. The next prime is 137748462871. The reversal of 137748462831 is 138264847731.

137748462831 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 4 + 8 + 4 + 628 + 3 + 1 = 666.

137748462831 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137748462831 - 21 = 137748462829 is a prime.

It is a super-2 number, since 2×1377484628312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137748462871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 175029420 + ... + 175030206.

It is an arithmetic number, because the mean of its divisors is an integer number (1695382000).

Almost surely, 2137748462831 is an apocalyptic number.

137748462831 is a deficient number, since it is larger than the sum of its proper divisors (106386545169).

137748462831 is an equidigital number, since it uses as much as digits as its factorization.

137748462831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 887 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 137748462831 in words is "one hundred thirty-seven billion, seven hundred forty-eight million, four hundred sixty-two thousand, eight hundred thirty-one".

Divisors: 1 3 7 9 21 31 49 59 63 93 147 177 217 279 343 413 441 531 651 787 961 1029 1239 1519 1829 1953 2361 2883 2891 3087 3717 4557 5487 5509 6727 7083 8649 8673 10633 12803 13671 16461 16527 20181 20237 24397 26019 31899 38409 38563 46433 47089 49581 56699 60543 60711 73191 89621 95697 115227 115689 139299 141267 170097 170779 182133 219573 268863 269941 325031 329623 347067 396893 417897 423801 510291 512337 627347 756307 806589 809823 975093 988869 1190679 1195453 1439423 1537011 1882041 2268921 2275217 2429469 2778251 2925279 2966607 3572037 3586359 4318269 5294149 5646123 6806763 6825651 8334753 8368171 10075961 10759077 12954807 15882447 15926519 19447757 20476953 25004259 25104513 30227883 37059043 44622113 47647341 47779557 58343271 70531727 75313539 90683649 111177129 133866339 143338671 175029813 211595181 259413301 312354791 333531387 401599017 493722089 634785543 778239903 937064373 1481166267 2186483537 2334719709 2811193119 4443498801 6559450611 15305384759 19678351833 45916154277 137748462831