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136640103327 = 32713414786579
BaseRepresentation
bin111111101000001100…
…0101000001110011111
3111001200200110102222200
41333100120220032133
54214314331301302
6142434355342543
712605032500120
oct1772030501637
9431620412880
10136640103327
1152a4885a032
12225945b1a53
13cb6776aa60
146883300047
15384ac8b81c
hex1fd062839f

136640103327 has 96 divisors (see below), whose sum is σ = 254137927680. Its totient is φ = 68819120640.

The previous prime is 136640103317. The next prime is 136640103343. The reversal of 136640103327 is 723301046631.

136640103327 is a `hidden beast` number, since 1 + 3 + 6 + 640 + 1 + 0 + 3 + 3 + 2 + 7 = 666.

It is not a de Polignac number, because 136640103327 - 27 = 136640103199 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 136640103291 and 136640103300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136640103307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1534924 + ... + 1621502.

It is an arithmetic number, because the mean of its divisors is an integer number (2647270080).

Almost surely, 2136640103327 is an apocalyptic number.

136640103327 is a deficient number, since it is larger than the sum of its proper divisors (117497824353).

136640103327 is a wasteful number, since it uses less digits than its factorization.

136640103327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86693 (or 86690 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Adding to 136640103327 its reverse (723301046631), we get a palindrome (859941149958).

The spelling of 136640103327 in words is "one hundred thirty-six billion, six hundred forty million, one hundred three thousand, three hundred twenty-seven".

Divisors: 1 3 7 9 13 21 39 41 47 63 91 117 123 141 273 287 329 369 423 533 611 819 861 987 1599 1833 1927 2583 2961 3731 4277 4797 5499 5781 11193 12831 13489 17343 25051 33579 38493 40467 75153 86579 121401 175357 225459 259737 526071 606053 779211 1125527 1578213 1818159 3376581 3549739 4069213 5454477 7878689 10129743 10649217 12207639 23636067 24848173 28484491 31947651 36622917 46146607 52899769 70908201 74544519 85453473 138439821 158699307 166837733 223633557 256360419 323026249 370298383 415319463 476097921 500513199 969078747 1110895149 1167864131 1501539597 2168890529 2907236241 3332685447 3503592393 6506671587 10510777179 15182233703 19520014761 45546701109 136640103327