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106683600646 = 27376110933089
BaseRepresentation
bin110001101011011010…
…1101000111100000110
3101012100222000102201101
41203112311220330012
53221442000210041
6121002035450314
710464501433450
oct1432665507406
9335328012641
10106683600646
11412761251a7
121881415699a
13a0a23c531c
1452409792d0
152b95da5b31
hex18d6d68f06

106683600646 has 64 divisors (see below), whose sum is σ = 191144730240. Its totient is φ = 43702364160.

The previous prime is 106683600641. The next prime is 106683600677. The reversal of 106683600646 is 646006386601.

It is a super-2 number, since 2×1066836006462 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106683600596 and 106683600605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106683600641) 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 31 ways as a sum of consecutive naturals, for example, 34535070 + ... + 34538158.

It is an arithmetic number, because the mean of its divisors is an integer number (2986636410).

Almost surely, 2106683600646 is an apocalyptic number.

106683600646 is a deficient number, since it is larger than the sum of its proper divisors (84461129594).

106683600646 is a wasteful number, since it uses less digits than its factorization.

106683600646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289.

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 106683600646 in words is "one hundred six billion, six hundred eighty-three million, six hundred thousand, six hundred forty-six".

Divisors: 1 2 7 14 37 61 74 122 259 427 518 854 1093 2186 2257 3089 4514 6178 7651 15302 15799 21623 31598 40441 43246 66673 80882 114293 133346 188429 228586 283087 376858 466711 566174 800051 933422 1319003 1600102 2466901 2638006 3376277 4933802 6752554 6971873 13943746 17268307 23633939 34536614 47267878 48803111 97606222 124922249 205952897 249844498 411905794 874455743 1441670279 1748911486 2883340558 7620257189 15240514378 53341800323 106683600646