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106005610000056 = 23313379182745149
BaseRepresentation
bin11000000110100101011010…
…101110100110111010111000
3111220100001000020001121111210
4120012211122232212322320
5102343243442130000211
61013242145511323120
731220436556646634
oct3006453256467270
9456301006047453
10106005610000056
113085a7aa314708
12ba807203804a0
13471c394821ab0
141c269adacddc4
15c3c6b10049a6
hex60695aba6eb8

106005610000056 has 64 divisors (see below), whose sum is σ = 293113225188000. Its totient is φ = 31735567231488.

The previous prime is 106005610000027. The next prime is 106005610000111. The reversal of 106005610000056 is 650000016500601.

It is a super-2 number, since 2×1060056100000562 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106005609999978 and 106005610000032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4591361031 + ... + 4591384118.

Almost surely, 2106005610000056 is an apocalyptic number.

It is an amenable number.

106005610000056 is an abundant number, since it is smaller than the sum of its proper divisors (187107615187944).

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

106005610000056 is a wasteful number, since it uses less digits than its factorization.

106005610000056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9182745208 (or 9182745204 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 106005610000056 its reverse (650000016500601), we get a palindrome (756005626500657).

The spelling of 106005610000056 in words is "one hundred six trillion, five billion, six hundred ten million, fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3848 5772 11544 9182745149 18365490298 27548235447 36730980596 55096470894 73461961192 110192941788 119375686937 220385883576 238751373874 339761570513 358127060811 477502747748 679523141026 716254121622 955005495496 1019284711539 1359046282052 1432508243244 2038569423078 2718092564104 2865016486488 4077138846156 4416900416669 8154277692312 8833800833338 13250701250007 17667601666676 26501402500014 35335203333352 53002805000028 106005610000056