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106406825036 = 221091911277761
BaseRepresentation
bin110001100011001010…
…1110100110001001100
3101011122200012202221212
41203012111310301030
53220410121400121
6120514351313552
710454601042461
oct1430625646114
9334580182855
10106406825036
1141143973626
121875751b8b8
13a059c69485
145215ccd668
152b7b93325b
hex18c6574c4c

106406825036 has 24 divisors (see below), whose sum is σ = 188904334080. Its totient is φ = 52439270400.

The previous prime is 106406825033. The next prime is 106406825059. The reversal of 106406825036 is 630528604601.

It is a super-2 number, since 2×1064068250362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106406824984 and 106406825002.

It is not an unprimeable number, because it can be changed into a prime (106406825033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555605 + ... + 722156.

It is an arithmetic number, because the mean of its divisors is an integer number (7871013920).

Almost surely, 2106406825036 is an apocalyptic number.

It is an amenable number.

106406825036 is a deficient number, since it is larger than the sum of its proper divisors (82497509044).

106406825036 is a wasteful number, since it uses less digits than its factorization.

106406825036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278065 (or 1278063 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 106406825036 in words is "one hundred six billion, four hundred six million, eight hundred twenty-five thousand, thirty-six".

Divisors: 1 2 4 109 191 218 382 436 764 20819 41638 83276 1277761 2555522 5111044 139275949 244052351 278551898 488104702 557103796 976209404 26601706259 53203412518 106406825036