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107407505061 = 341790785999
BaseRepresentation
bin110010000000111111…
…1000111011010100101
3101021020102011120220000
41210001333013122211
53224432310130221
6121201535331513
710521441505113
oct1440177073245
9337212146800
10107407505061
114160781130a
1218996680b99
13a18938402c
1452acb76ab3
152bd96eae26
hex1901fc76a5

107407505061 has 40 divisors (see below), whose sum is σ = 170075664000. Its totient is φ = 67317858432.

The previous prime is 107407505021. The next prime is 107407505081. The reversal of 107407505061 is 160505704701.

107407505061 is a `hidden beast` number, since 10 + 74 + 0 + 75 + 0 + 506 + 1 = 666.

It is not a de Polignac number, because 107407505061 - 217 = 107407373989 is a prime.

It is a super-2 number, since 2×1074075050612 (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 (107407505021) 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 39 ways as a sum of consecutive naturals, for example, 1205940 + ... + 1291938.

It is an arithmetic number, because the mean of its divisors is an integer number (4251891600).

Almost surely, 2107407505061 is an apocalyptic number.

It is an amenable number.

107407505061 is a deficient number, since it is larger than the sum of its proper divisors (62668158939).

107407505061 is an equidigital number, since it uses as much as digits as its factorization.

107407505061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86935 (or 86926 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 107407505061 in words is "one hundred seven billion, four hundred seven million, five hundred five thousand, sixty-one".

Divisors: 1 3 9 17 27 51 81 153 459 907 1377 2721 8163 15419 24489 46257 73467 85999 138771 257997 416313 773991 1248939 1461983 2321973 4385949 6965919 13157847 39473541 78001093 118420623 234003279 702009837 1326018581 2106029511 3978055743 6318088533 11934167229 35802501687 107407505061