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137723448962 = 21123121274663
BaseRepresentation
bin1000000001000011110…
…1010000111010000010
3111011111011222002211002
42000100331100322002
54224024200331322
6143134055252002
712643626000161
oct2002075207202
9434434862732
10137723448962
1153454329700
122283737a002
13ccab03a088
1469471453d8
1538b0e32c92
hex2010f50e82

137723448962 has 72 divisors (see below), whose sum is σ = 236532409344. Its totient is φ = 60092247600.

The previous prime is 137723448917. The next prime is 137723449013. The reversal of 137723448962 is 269844327731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 137723448898 and 137723448907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29533043 + ... + 29537705.

It is an arithmetic number, because the mean of its divisors is an integer number (3285172352).

Almost surely, 2137723448962 is an apocalyptic number.

137723448962 is a deficient number, since it is larger than the sum of its proper divisors (98808960382).

137723448962 is a wasteful number, since it uses less digits than its factorization.

137723448962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876 (or 4834 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 56.

It can be divided in two parts, 137723 and 448962, that added together give a palindrome (586685).

The spelling of 137723448962 in words is "one hundred thirty-seven billion, seven hundred twenty-three million, four hundred forty-eight thousand, nine hundred sixty-two".

Divisors: 1 2 11 22 31 62 121 127 242 254 341 682 961 1397 1922 2794 3751 3937 4663 7502 7874 9326 10571 15367 21142 30734 43307 51293 86614 102586 116281 122047 144553 232562 244094 289106 476377 564223 592201 952754 1128446 1184402 1342517 1590083 2685034 3180166 4481143 6514211 8962286 13028422 14767687 17490913 18358231 29535374 34981826 36716462 49292573 71656321 98585146 143312642 201940541 403881082 542218303 569105161 1084436606 1138210322 2221345951 4442691902 6260156771 12520313542 68861724481 137723448962