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137625731676 = 22324222790533
BaseRepresentation
bin1000000000101100100…
…0100000001001011100
3111011020101002112220100
42000023020200021130
54223324141403201
6143120245021100
712641331263136
oct2001310401134
9434211075810
10137625731676
1153404157214
122280a6b4790
13cc93a155b4
14693818a056
1538a757e886
hex200b22025c

137625731676 has 36 divisors (see below), whose sum is σ = 347899347432. Its totient is φ = 45873650784.

The previous prime is 137625731629. The next prime is 137625731681. The reversal of 137625731676 is 676137526731.

137625731676 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 2 + 573 + 1 + 67 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1474906 + ... + 1565438.

It is an arithmetic number, because the mean of its divisors is an integer number (9663870762).

Almost surely, 2137625731676 is an apocalyptic number.

It is an amenable number.

137625731676 is an abundant number, since it is smaller than the sum of its proper divisors (210273615756).

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

137625731676 is a wasteful number, since it uses less digits than its factorization.

137625731676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132770 (or 132765 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 54.

The spelling of 137625731676 in words is "one hundred thirty-seven billion, six hundred twenty-five million, seven hundred thirty-one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 42227 84454 90533 126681 168908 181066 253362 271599 362132 380043 506724 543198 760086 814797 1086396 1520172 1629594 3259188 3822936991 7645873982 11468810973 15291747964 22937621946 34406432919 45875243892 68812865838 137625731676