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106356956859 = 32291301313219
BaseRepresentation
bin110001100001101011…
…1100101111010111011
3101011112012101012200100
41203003113211322323
53220304340104414
6120505410410443
710453424134266
oct1430327457273
9334465335610
10106356956859
114111880295a
1218742890a23
13a04c82908a
14520d42bcdd
152b77382609
hex18c35e5ebb

106356956859 has 24 divisors (see below), whose sum is σ = 159046851600. Its totient is φ = 68406811200.

The previous prime is 106356956851. The next prime is 106356956861. The reversal of 106356956859 is 958659653601.

106356956859 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 5 + 69 + 568 + 5 + 9 = 666.

It is not a de Polignac number, because 106356956859 - 23 = 106356956851 is a prime.

It is a super-3 number, since 3×1063569568593 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106356956796 and 106356956805.

It is not an unprimeable number, because it can be changed into a prime (106356956851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182952 + ... + 496170.

It is an arithmetic number, because the mean of its divisors is an integer number (6626952150).

Almost surely, 2106356956859 is an apocalyptic number.

106356956859 is a deficient number, since it is larger than the sum of its proper divisors (52689894741).

106356956859 is a wasteful number, since it uses less digits than its factorization.

106356956859 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314555 (or 314552 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 106356956859 in words is "one hundred six billion, three hundred fifty-six million, nine hundred fifty-six thousand, eight hundred fifty-nine".

Divisors: 1 3 9 29 87 261 1301 3903 11709 37729 113187 313219 339561 939657 2818971 9083351 27250053 81750159 407497919 1222493757 3667481271 11817439651 35452318953 106356956859