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137127563046 = 232171088341177
BaseRepresentation
bin111111110110101110…
…0001000111100100110
3111002221122200222000100
41333231130020330212
54221314124004141
6142555011324530
712623102024355
oct1775534107446
9432848628010
10137127563046
1153178a30801
12226ab8b0746
13cc14751c66
1468cbd4d99c
1538789790b6
hex1fed708f26

137127563046 has 48 divisors (see below), whose sum is σ = 314623309104. Its totient is φ = 43015414272.

The previous prime is 137127563003. The next prime is 137127563071. The reversal of 137127563046 is 640365721731.

137127563046 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 2 + 7 + 5 + 630 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 137127562992 and 137127563010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3309610 + ... + 3350786.

It is an arithmetic number, because the mean of its divisors is an integer number (6554652273).

Almost surely, 2137127563046 is an apocalyptic number.

137127563046 is an abundant number, since it is smaller than the sum of its proper divisors (177495746058).

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

137127563046 is a wasteful number, since it uses less digits than its factorization.

137127563046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52085 (or 52082 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 137127563046 in words is "one hundred thirty-seven billion, one hundred twenty-seven million, five hundred sixty-three thousand, forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 10883 21766 32649 41177 65298 82354 97947 123531 185011 195894 247062 370022 370593 555033 700009 741186 1110066 1400018 1665099 2100027 3330198 4200054 6300081 12600162 448129291 896258582 1344387873 2688775746 4033163619 7618197947 8066327238 15236395894 22854593841 45709187682 68563781523 137127563046