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106046146242603 = 3275153632951613
BaseRepresentation
bin11000000111001011001010…
…111000000110100000101011
3111220110220122021011002111100
4120013023022320012200223
5102344430001414230403
61013312532123532443
731223403235223040
oct3007131270064053
9456426567132440
10106046146242603
1130875a10a33706
12ba8855398a123
134723154a08928
141c289375a91c7
15c3d784b132a3
hex6072cae0682b

106046146242603 has 48 divisors (see below), whose sum is σ = 175125335785920. Its totient is φ = 60575291707392.

The previous prime is 106046146242599. The next prime is 106046146242637. The reversal of 106046146242603 is 306242641640601.

106046146242603 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 4 + 6 + 14 + 6 + 24 + 2 + 603 = 666.

It is not a de Polignac number, because 106046146242603 - 22 = 106046146242599 is a prime.

It is a super-2 number, since 2×1060461462426032 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106046146242203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2054614425 + ... + 2054666037.

It is an arithmetic number, because the mean of its divisors is an integer number (3648444495540).

Almost surely, 2106046146242603 is an apocalyptic number.

106046146242603 is a deficient number, since it is larger than the sum of its proper divisors (69079189543317).

106046146242603 is a wasteful number, since it uses less digits than its factorization.

106046146242603 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63108 (or 63105 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 106046146242603 in words is "one hundred six trillion, forty-six billion, one hundred forty-six million, two hundred forty-two thousand, six hundred three".

Divisors: 1 3 7 9 21 63 5153 6329 15459 18987 36071 44303 46377 51613 56961 108213 132909 154839 324639 361291 398727 464517 1083873 3251619 32613337 97840011 228293359 265961789 293520033 326658677 684880077 797885367 979976031 1861732523 2054640231 2286610739 2393656101 2939928093 5585197569 6859832217 16755592707 20579496651 1683272162581 5049816487743 11782905138067 15149449463229 35348715414201 106046146242603